3932872151040 has 1248 divisors, whose sum is σ = 16708429042560. Its totient is φ = 874423517184.

The previous prime is 3932872151017. The next prime is 3932872151053. The reversal of 3932872151040 is 401512782393.

It is a happy number.

3932872151040 is a `hidden beast` number, since 3 + 9 + 3 + 28 + 72 + 1 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002514519 + ... + 1002518441.

Almost surely, 2^{3932872151040} is an apocalyptic number.

3932872151040 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 3932872151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354214521280).

3932872151040 is an abundant number, since it is smaller than the sum of its proper divisors (12775556891520).

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

3932872151040 is a wasteful number, since it uses less digits than its factorization.

3932872151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3932872151040 in words is "three trillion, nine hundred thirty-two billion, eight hundred seventy-two million, one hundred fifty-one thousand, forty".