32956350440 has 256 divisors, whose sum is σ = 86244480000. Its totient is φ = 11232276480.

The previous prime is 32956350419. The next prime is 32956350473. The reversal of 32956350440 is 4405365923.

It is a super-2 number, since 2×32956350440² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 89799137 + ... + 89799503.

It is an arithmetic number, because the mean of its divisors is an integer number (336892500).

Almost surely, 2^32956350440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32956350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240000).

32956350440 is an abundant number, since it is smaller than the sum of its proper divisors (53288129560).

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

32956350440 is a wasteful number, since it uses less digits than its factorization.

32956350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 32956350440 in words is "thirty-two billion, nine hundred fifty-six million, three hundred fifty thousand, four hundred forty".