1397907763200 has 2496 divisors, whose sum is σ = 6142856832000. Its totient is φ = 308312801280.

The previous prime is 1397907763199. The next prime is 1397907763243. The reversal of 1397907763200 is 23677097931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×1397907763200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15706828756 + ... + 15706828844.

Almost surely, 2^{1397907763200} is an apocalyptic number.

1397907763200 is a gapful number since it is divisible by the number (10) 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 1397907763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071428416000).

1397907763200 is an abundant number, since it is smaller than the sum of its proper divisors (4744949068800).

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

1397907763200 is a wasteful number, since it uses less digits than its factorization.

1397907763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 1397907763200 in words is "one trillion, three hundred ninety-seven billion, nine hundred seven million, seven hundred sixty-three thousand, two hundred".