40290525625 has 135 divisors (see below), whose sum is σ = 62196971067. Its totient is φ = 26013960000.

The previous prime is 40290525617. The next prime is 40290525637. The reversal of 40290525625 is 52652509204.

The square root of 40290525625 is 200725.

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 13377466921 + 26913058704 = 115661^2 + 164052^2 .

It is not a de Polignac number, because 40290525625 - 2³ = 40290525617 is a prime.

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, 1088933107 + ... + 1088933143.

Almost surely, 2^40290525625 is an apocalyptic number.

40290525625 is the 200725-th square number.

40290525625 is the 100363-rd centered octagonal number.

It is an amenable number.

40290525625 is a deficient number, since it is larger than the sum of its proper divisors (21906445442).

40290525625 is an frugal number, since it uses more digits than its factorization.

40290525625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 40290525625 in words is "forty billion, two hundred ninety million, five hundred twenty-five thousand, six hundred twenty-five".