3940718238720 has 352 divisors, whose sum is σ = 14010323040000. Its totient is φ = 1050428915712.

The previous prime is 3940718238719. The next prime is 3940718238773. The reversal of 3940718238720 is 278328170493.

3940718238720 is a `hidden beast` number, since 3 + 9 + 407 + 182 + 38 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483697687 + ... + 483705833.

Almost surely, 2^{3940718238720} is an apocalyptic number.

3940718238720 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 3940718238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005161520000).

3940718238720 is an abundant number, since it is smaller than the sum of its proper divisors (10069604801280).

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

3940718238720 is a wasteful number, since it uses less digits than its factorization.

3940718238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3940718238720 in words is "three trillion, nine hundred forty billion, seven hundred eighteen million, two hundred thirty-eight thousand, seven hundred twenty".