40514179755625 has 135 divisors (see below), whose sum is σ = 53839043395137. Its totient is φ = 30475979100000.

The previous prime is 40514179755619. The next prime is 40514179755653. The reversal of 40514179755625 is 52655797141504.

The square root of 40514179755625 is 6365075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3176311692841 + 37337868062784 = 1782221^2 + 6110472^2 .

It is not a de Polignac number, because 40514179755625 - 2⁴⁵ = 5329807666793 is a prime.

It is a super-2 number, since 2×40514179755625² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 212116124280 + ... + 212116124470.

Almost surely, 2^{40514179755625} is an apocalyptic number.

40514179755625 is the 6365075-th square number.

40514179755625 is the 3182538-th centered octagonal number.

It is an amenable number.

40514179755625 is a deficient number, since it is larger than the sum of its proper divisors (13324863639512).

40514179755625 is an frugal number, since it uses more digits than its factorization.

40514179755625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 61.

The spelling of 40514179755625 in words is "forty trillion, five hundred fourteen billion, one hundred seventy-nine million, seven hundred fifty-five thousand, six hundred twenty-five".