3957988159440 has 480 divisors, whose sum is σ = 15612813216000. Its totient is φ = 898166707200.

The previous prime is 3957988159439. The next prime is 3957988159471. The reversal of 3957988159440 is 449518897593.

3957988159440 is a `hidden beast` number, since 3 + 9 + 57 + 9 + 8 + 81 + 59 + 440 = 666.

It is a super-2 number, since 2×3957988159440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 34269790 + ... + 34385090.

It is an arithmetic number, because the mean of its divisors is an integer number (32526694200).

Almost surely, 2^{3957988159440} is an apocalyptic number.

3957988159440 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 3957988159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806406608000).

3957988159440 is an abundant number, since it is smaller than the sum of its proper divisors (11654825056560).

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

3957988159440 is a wasteful number, since it uses less digits than its factorization.

3957988159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115480 (or 115457 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 3957988159440 in words is "three trillion, nine hundred fifty-seven billion, nine hundred eighty-eight million, one hundred fifty-nine thousand, four hundred forty".