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40001373440 = 28573179509
BaseRepresentation
bin100101010000010001…
…001000010100000000
310211020202122022111122
4211100101020110000
51123410322422230
630213144131412
72614162031000
oct452021102400
9124222568448
1040001373440
1115a67806a16
127904466b68
133a06443752
141d16848000
151091ba8be5
hex950448500

40001373440 has 288 divisors, whose sum is σ = 112583520000. Its totient is φ = 13611343872.

The previous prime is 40001373431. The next prime is 40001373469. The reversal of 40001373440 is 4437310004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78587906 + ... + 78588414.

It is an arithmetic number, because the mean of its divisors is an integer number (390915000).

Almost surely, 240001373440 is an apocalyptic number.

40001373440 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 40001373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760000).

40001373440 is an abundant number, since it is smaller than the sum of its proper divisors (72582146560).

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

40001373440 is an equidigital number, since it uses as much as digits as its factorization.

40001373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

Adding to 40001373440 its reverse (4437310004), we get a palindrome (44438683444).

The spelling of 40001373440 in words is "forty billion, one million, three hundred seventy-three thousand, four hundred forty".