1409014106361 has 15 divisors (see below), whose sum is σ = 2104839500533. Its totient is φ = 939335615460.

The previous prime is 1409014106341. The next prime is 1409014106369. The reversal of 1409014106361 is 1636014109041.

The square root of 1409014106361 is 1187019.

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

1409014106361 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 0 + 1 + 4 + 10 + 636 + 1 = 666.

It is not a de Polignac number, because 1409014106361 - 2⁵ = 1409014106329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1409014106369) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10617226 + ... + 10749116.

Almost surely, 2^{1409014106361} is an apocalyptic number.

1409014106361 is the 1187019-th square number.

1409014106361 is the 593510-th centered octagonal number.

It is an amenable number.

1409014106361 is a deficient number, since it is larger than the sum of its proper divisors (695825394172).

1409014106361 is an frugal number, since it uses more digits than its factorization.

1409014106361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263794 (or 131894 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1409014106361 by its sum of digits (36), we get a square (50724507828996 = 7122114²).

The spelling of 1409014106361 in words is "one trillion, four hundred nine billion, fourteen million, one hundred six thousand, three hundred sixty-one".