4381590900625 has 45 divisors (see below), whose sum is σ = 5536661695653. Its totient is φ = 3466380600000.

The previous prime is 4381590900611. The next prime is 4381590900637. The reversal of 4381590900625 is 5260090951834.

The square root of 4381590900625 is 2093225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3784024796049 + 597566104576 = 1945257^2 + 773024^2 .

It is not a de Polignac number, because 4381590900625 - 2⁷ = 4381590900497 is a prime.

It is a Duffinian number.

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, 5285392711 + ... + 5285393539.

Almost surely, 2^{4381590900625} is an apocalyptic number.

4381590900625 is the 2093225-th square number.

4381590900625 is the 1046613-rd centered octagonal number.

It is an amenable number.

4381590900625 is a deficient number, since it is larger than the sum of its proper divisors (1155070795028).

4381590900625 is an frugal number, since it uses more digits than its factorization.

4381590900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 4381590900625 in words is "four trillion, three hundred eighty-one billion, five hundred ninety million, nine hundred thousand, six hundred twenty-five".