1397596086432 has 1296 divisors, whose sum is σ = 5424146949312. Its totient is φ = 345866526720.

The previous prime is 1397596086407. The next prime is 1397596086463. The reversal of 1397596086432 is 2346806957931.

1397596086432 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 596 + 0 + 8 + 6 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1397596086432.

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 215 ways as a sum of consecutive naturals, for example, 4222344507 + ... + 4222344837.

It is an arithmetic number, because the mean of its divisors is an integer number (4185298572).

It is a 1-persistent number, because it is pandigital, but 2⋅1397596086432 = 2795192172864 is not.

Almost surely, 2^{1397596086432} is an apocalyptic number.

1397596086432 is a gapful number since it is divisible by the number (12) 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 1397596086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712073474656).

1397596086432 is an abundant number, since it is smaller than the sum of its proper divisors (4026550862880).

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

1397596086432 is an equidigital number, since it uses as much as digits as its factorization.

1397596086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1397596086432 in words is "one trillion, three hundred ninety-seven billion, five hundred ninety-six million, eighty-six thousand, four hundred thirty-two".