396888366536640 has 2016 divisors, whose sum is σ = 1587169388593152. Its totient is φ = 90177712128000.

The previous prime is 396888366536633. The next prime is 396888366536653. The reversal of 396888366536640 is 46635663888693.

396888366536640 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 8 + 8 + 36 + 6 + 536 + 6 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 396888366536640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 230614970980 + ... + 230614972700.

It is an arithmetic number, because the mean of its divisors is an integer number (787286403072).

Almost surely, 2^{396888366536640} is an apocalyptic number.

396888366536640 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 396888366536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793584694296576).

396888366536640 is an abundant number, since it is smaller than the sum of its proper divisors (1190281022056512).

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

396888366536640 is a wasteful number, since it uses less digits than its factorization.

396888366536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 19349176320, while the sum is 81.

The spelling of 396888366536640 in words is "three hundred ninety-six trillion, eight hundred eighty-eight billion, three hundred sixty-six million, five hundred thirty-six thousand, six hundred forty".