40505373640032 has 288 divisors, whose sum is σ = 131843915481600. Its totient is φ = 10825075602432.

The previous prime is 40505373640031. The next prime is 40505373640057. The reversal of 40505373640032 is 23004637350504.

It is a super-3 number, since 3×40505373640032³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505373640031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192338 + ... + 9929070.

It is an arithmetic number, because the mean of its divisors is an integer number (457791373200).

Almost surely, 2^{40505373640032} is an apocalyptic number.

40505373640032 is a gapful number since it is divisible by the number (42) 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 40505373640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65921957740800).

40505373640032 is an abundant number, since it is smaller than the sum of its proper divisors (91338541841568).

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

40505373640032 is a wasteful number, since it uses less digits than its factorization.

40505373640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736858 (or 5736843 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 40505373640032 in words is "forty trillion, five hundred five billion, three hundred seventy-three million, six hundred forty thousand, thirty-two".