1390640644000 has 96 divisors (see below), whose sum is σ = 3418820168400. Its totient is φ = 555928038400.

The previous prime is 1390640643983. The next prime is 1390640644087. The reversal of 1390640644000 is 4460460931.

It can be written as a sum of positive squares in 8 ways, for example, as 145639930384 + 1245000713616 = 381628^2 + 1115796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6734286 + ... + 6937714.

Almost surely, 2^{1390640644000} is an apocalyptic number.

1390640644000 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 1390640644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709410084200).

1390640644000 is an abundant number, since it is smaller than the sum of its proper divisors (2028179524400).

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

1390640644000 is a wasteful number, since it uses less digits than its factorization.

1390640644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205163 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 1390640644000 in words is "one trillion, three hundred ninety billion, six hundred forty million, six hundred forty-four thousand".