3940015412160 has 1344 divisors, whose sum is σ = 15726252072960. Its totient is φ = 899375431680.

The previous prime is 3940015412153. The next prime is 3940015412197. The reversal of 3940015412160 is 612145100493.

It is a happy number.

3940015412160 is a `hidden beast` number, since 3 + 94 + 0 + 0 + 1 + 541 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 2059599364 + ... + 2059601276.

Almost surely, 2^{3940015412160} is an apocalyptic number.

3940015412160 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 3940015412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863126036480).

3940015412160 is an abundant number, since it is smaller than the sum of its proper divisors (11786236660800).

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

3940015412160 is a wasteful number, since it uses less digits than its factorization.

3940015412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3940015412160 in words is "three trillion, nine hundred forty billion, fifteen million, four hundred twelve thousand, one hundred sixty".