4123640955625 has 45 divisors (see below), whose sum is σ = 5278317759363. Its totient is φ = 3220488096000.

The previous prime is 4123640955611. The next prime is 4123640955631. The reversal of 4123640955625 is 5265590463214.

The square root of 4123640955625 is 2030675.

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 3233275093161 + 890365862464 = 1798131^2 + 943592^2 .

It is not a de Polignac number, because 4123640955625 - 2¹¹ = 4123640953577 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, 2182974681 + ... + 2182976569.

Almost surely, 2^{4123640955625} is an apocalyptic number.

4123640955625 is the 2030675-th square number.

4123640955625 is the 1015338-th centered octagonal number.

It is an amenable number.

4123640955625 is a deficient number, since it is larger than the sum of its proper divisors (1154676803738).

4123640955625 is an frugal number, since it uses more digits than its factorization.

4123640955625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 4123640955625 in words is "four trillion, one hundred twenty-three billion, six hundred forty million, nine hundred fifty-five thousand, six hundred twenty-five".