396627114240 has 2160 divisors, whose sum is σ = 1807704966144. Its totient is φ = 81218764800.

The previous prime is 396627114227. The next prime is 396627114251. The reversal of 396627114240 is 42411726693.

396627114240 is a `hidden beast` number, since 3 + 9 + 6 + 627 + 1 + 14 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 6502083810 + ... + 6502083870.

Almost surely, 2^396627114240 is an apocalyptic number.

396627114240 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 396627114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903852483072).

396627114240 is an abundant number, since it is smaller than the sum of its proper divisors (1411077851904).

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

396627114240 is a wasteful number, since it uses less digits than its factorization.

396627114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 396627114240 in words is "three hundred ninety-six billion, six hundred twenty-seven million, one hundred fourteen thousand, two hundred forty".