396414113760 has 576 divisors, whose sum is σ = 1639110380544. Its totient is φ = 85166899200.

The previous prime is 396414113741. The next prime is 396414113807. The reversal of 396414113760 is 67311414693.

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

It is a congruent number.

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, 258924195 + ... + 258925725.

It is an arithmetic number, because the mean of its divisors is an integer number (2845677744).

Almost surely, 2^396414113760 is an apocalyptic number.

396414113760 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 396414113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819555190272).

396414113760 is an abundant number, since it is smaller than the sum of its proper divisors (1242696266784).

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

396414113760 is a wasteful number, since it uses less digits than its factorization.

396414113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 396414113760 in words is "three hundred ninety-six billion, four hundred fourteen million, one hundred thirteen thousand, seven hundred sixty".