1392515642401 has 27 divisors (see below), whose sum is σ = 1544485901427. Its totient is φ = 1254911308560.

The previous prime is 1392515642393. The next prime is 1392515642407. The reversal of 1392515642401 is 1042465152931.

It is a happy number.

The square root of 1392515642401 is 1180049.

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., 205993438225 + 1186522204176 = 453865^2 + 1089276^2 .

It is not a de Polignac number, because 1392515642401 - 2³ = 1392515642393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1392515642407) 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, 659646336 + ... + 659648446.

Almost surely, 2^{1392515642401} is an apocalyptic number.

1392515642401 is the 1180049-th square number.

1392515642401 is the 590025-th centered octagonal number.

It is an amenable number.

1392515642401 is a deficient number, since it is larger than the sum of its proper divisors (151970259026).

1392515642401 is an frugal number, since it uses more digits than its factorization.

1392515642401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 1392515642401 in words is "one trillion, three hundred ninety-two billion, five hundred fifteen million, six hundred forty-two thousand, four hundred one".