1040157254161 has 15 divisors (see below), whose sum is σ = 1105479559911. Its totient is φ = 978694125696.

The previous prime is 1040157254119. The next prime is 1040157254173. The reversal of 1040157254161 is 1614527510401.

The square root of 1040157254161 is 1019881.

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

It can be written as a sum of positive squares in 7 ways, for example, as 400285247761 + 639872006400 = 632681^2 + 799920^2 .

It is not a de Polignac number, because 1040157254161 - 2⁹ = 1040157253649 is a prime.

It is a super-2 number, since 2×1040157254161² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1040157254161.

It is not an unprimeable number, because it can be changed into a prime (1040157254261) 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, 294743845 + ... + 294747373.

Almost surely, 2^{1040157254161} is an apocalyptic number.

1040157254161 is the 1019881-st square number.

1040157254161 is the 509941-st centered octagonal number.

It is an amenable number.

1040157254161 is a deficient number, since it is larger than the sum of its proper divisors (65322305750).

1040157254161 is an frugal number, since it uses more digits than its factorization.

1040157254161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 1040157254161 in words is "one trillion, forty billion, one hundred fifty-seven million, two hundred fifty-four thousand, one hundred sixty-one".