1371002314400 has 72 divisors (see below), whose sum is σ = 3352761151740. Its totient is φ = 547450306560.

The previous prime is 1371002314373. The next prime is 1371002314427. The reversal of 1371002314400 is 44132001731.

It is an interprime number because it is at equal distance from previous prime (1371002314373) and next prime (1371002314427).

It can be written as a sum of positive squares in 6 ways, for example, as 627523802896 + 743478511504 = 792164^2 + 862252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1371002314400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1023455 + ... + 1946654.

Almost surely, 2^{1371002314400} is an apocalyptic number.

1371002314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1371002314400 is an abundant number, since it is smaller than the sum of its proper divisors (1981758837340).

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

1371002314400 is a wasteful number, since it uses less digits than its factorization.

1371002314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970706 (or 2970693 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 1371002314400 in words is "one trillion, three hundred seventy-one billion, two million, three hundred fourteen thousand, four hundred".