1040014475721 has 81 divisors (see below), whose sum is σ = 1652533460487. Its totient is φ = 629998443360.

The previous prime is 1040014475707. The next prime is 1040014475737. The reversal of 1040014475721 is 1275744100401.

The square root of 1040014475721 is 1019811.

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

1040014475721 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 1 + 4 + 47 + 572 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153848295225 + 886166180496 = 392235^2 + 941364^2 .

It is not a de Polignac number, because 1040014475721 - 2¹⁵ = 1040014442953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040014475821) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3142037526 + ... + 3142037856.

Almost surely, 2^{1040014475721} is an apocalyptic number.

1040014475721 is the 1019811-st square number.

1040014475721 is the 509906-th centered octagonal number.

It is an amenable number.

1040014475721 is a deficient number, since it is larger than the sum of its proper divisors (612518984766).

1040014475721 is an frugal number, since it uses more digits than its factorization.

1040014475721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Multiplying 1040014475721 by its sum of digits (36), we get a square (37440521125956 = 6118866²).

The spelling of 1040014475721 in words is "one trillion, forty billion, fourteen million, four hundred seventy-five thousand, seven hundred twenty-one".