397131365030400 has 13440 divisors, whose sum is σ = 2183585708570112. Its totient is φ = 68797071360000.

The previous prime is 397131365030357. The next prime is 397131365030471. The reversal of 397131365030400 is 4030563131793.

397131365030400 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 3 + 136 + 503 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (13440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 6510350246370 + ... + 6510350246430.

Almost surely, 2^{397131365030400} is an apocalyptic number.

397131365030400 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 397131365030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091792854285056).

397131365030400 is an abundant number, since it is smaller than the sum of its proper divisors (1786454343539712).

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

397131365030400 is a wasteful number, since it uses less digits than its factorization.

397131365030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 397131365030400 in words is "three hundred ninety-seven trillion, one hundred thirty-one billion, three hundred sixty-five million, thirty thousand, four hundred".