1002379413721 has 27 divisors (see below), whose sum is σ = 1174797031167. Its totient is φ = 852772742640.

The previous prime is 1002379413683. The next prime is 1002379413727. The reversal of 1002379413721 is 1273149732001.

The square root of 1002379413721 is 1001189.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 293812782025 + 708566631696 = 542045^2 + 841764^2 .

It is not a de Polignac number, because 1002379413721 - 2⁷ = 1002379413593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002379413727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1100306256 + ... + 1100307166.

Almost surely, 2^{1002379413721} is an apocalyptic number.

1002379413721 is the 1001189-th square number.

1002379413721 is the 500595-th centered octagonal number.

It is an amenable number.

1002379413721 is a deficient number, since it is larger than the sum of its proper divisors (172417617446).

1002379413721 is an frugal number, since it uses more digits than its factorization.

1002379413721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

It can be divided in two parts, 1002379 and 413721, that added together give a square (1416100 = 1190²).

The spelling of 1002379413721 in words is "one trillion, two billion, three hundred seventy-nine million, four hundred thirteen thousand, seven hundred twenty-one".