3956566371840 has 480 divisors, whose sum is σ = 14537675243520. Its totient is φ = 991669174272.

The previous prime is 3956566371829. The next prime is 3956566371841. The reversal of 3956566371840 is 481736656593.

3956566371840 is a `hidden beast` number, since 3 + 9 + 56 + 566 + 3 + 7 + 18 + 4 + 0 = 666.

3956566371840 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 super-2 number, since 2×3956566371840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956566371841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55559937 + ... + 55631103.

It is an arithmetic number, because the mean of its divisors is an integer number (30286823424).

Almost surely, 2^{3956566371840} is an apocalyptic number.

3956566371840 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 3956566371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268837621760).

3956566371840 is an abundant number, since it is smaller than the sum of its proper divisors (10581108871680).

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

3956566371840 is a wasteful number, since it uses less digits than its factorization.

3956566371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71342 (or 71323 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3956566371840 in words is "three trillion, nine hundred fifty-six billion, five hundred sixty-six million, three hundred seventy-one thousand, eight hundred forty".