3956907562440 has 768 divisors, whose sum is σ = 15153215616000. Its totient is φ = 820884879360.

The previous prime is 3956907562417. The next prime is 3956907562441. The reversal of 3956907562440 is 442657096593.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3956907562441) 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 191 ways as a sum of consecutive naturals, for example, 424419619 + ... + 424428941.

It is an arithmetic number, because the mean of its divisors is an integer number (19730749500).

Almost surely, 2^{3956907562440} is an apocalyptic number.

3956907562440 is a gapful number since it is divisible by the number (30) 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 3956907562440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576607808000).

3956907562440 is an abundant number, since it is smaller than the sum of its proper divisors (11196308053560).

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

3956907562440 is a wasteful number, since it uses less digits than its factorization.

3956907562440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 3956907562440 in words is "three trillion, nine hundred fifty-six billion, nine hundred seven million, five hundred sixty-two thousand, four hundred forty".