40491500625 has 45 divisors (see below), whose sum is σ = 73113509469. Its totient is φ = 21587418000.

The previous prime is 40491500611. The next prime is 40491500659. The reversal of 40491500625 is 52600519404.

The square root of 40491500625 is 201225.

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

40491500625 is a `hidden beast` number, since 4 + 0 + 4 + 91 + 500 + 62 + 5 = 666.

40491500625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3174533649 + 37316966976 = 56343^2 + 193176^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 40491500625 - 2⁵ = 40491500593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40491500625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15090534 + ... + 15093216.

Almost surely, 2^40491500625 is an apocalyptic number.

40491500625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40491500625 is the 201225-th square number.

40491500625 is the 100613-rd centered octagonal number.

It is an amenable number.

40491500625 is a deficient number, since it is larger than the sum of its proper divisors (32622008844).

40491500625 is an frugal number, since it uses more digits than its factorization.

40491500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 40491500625 by its sum of digits (36), we get a square (1457694022500 = 1207350²).

The spelling of 40491500625 in words is "forty billion, four hundred ninety-one million, five hundred thousand, six hundred twenty-five".