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40073521020000 = 2535413202925321
BaseRepresentation
bin10010001110010010101111…
…11111000011110001100000
312020212222202120200210121020
421013021113333003301200
520223031032340120000
6221121304342525440
711304134131310556
oct1107112777036140
9166788676623536
1040073521020000
11118500a29a0626
1245b2625136880
131948bbc32b1b0
149c77d69a1bd6
1549760e4dcba0
hex247257fc3c60

40073521020000 has 480 divisors, whose sum is σ = 141635999846880. Its totient is φ = 9859000320000.

The previous prime is 40073521019999. The next prime is 40073521020083. The reversal of 40073521020000 is 2012537004.

40073521020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1582607340 + ... + 1582632660.

It is an arithmetic number, because the mean of its divisors is an integer number (295074999681).

Almost surely, 240073521020000 is an apocalyptic number.

40073521020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40073521020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70817999923440).

40073521020000 is an abundant number, since it is smaller than the sum of its proper divisors (101562478826880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40073521020000 is a wasteful number, since it uses less digits than its factorization.

40073521020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 27373 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 40073521020000 its reverse (2012537004), we get a palindrome (40075533557004).

The spelling of 40073521020000 in words is "forty trillion, seventy-three billion, five hundred twenty-one million, twenty thousand".