396262780817904 has 1440 divisors, whose sum is σ = 1567349349054720. Its totient is φ = 94939170923520.

The previous prime is 396262780817881. The next prime is 396262780817909. The reversal of 396262780817904 is 409718087262693.

396262780817904 is a `hidden beast` number, since 396 + 2 + 6 + 2 + 78 + 0 + 81 + 7 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396262780817909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57371182419 + ... + 57371189325.

Almost surely, 2^{396262780817904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396262780817904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783674674527360).

396262780817904 is an abundant number, since it is smaller than the sum of its proper divisors (1171086568236816).

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

396262780817904 is a wasteful number, since it uses less digits than its factorization.

396262780817904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 396262780817904 in words is "three hundred ninety-six trillion, two hundred sixty-two billion, seven hundred eighty million, eight hundred seventeen thousand, nine hundred four".