2411420765625 has 189 divisors, whose sum is σ = 4507303575307. Its totient is φ = 1242300000000.

The previous prime is 2411420765573. The next prime is 2411420765681. The reversal of 2411420765625 is 5265670241142.

The square root of 2411420765625 is 1552875.

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

2411420765625 is a `hidden beast` number, since 2 + 4 + 1 + 14 + 2 + 0 + 7 + 6 + 5 + 625 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 334570853241 + 2076849912384 = 578421^2 + 1441128^2 .

It is not a de Polignac number, because 2411420765625 - 2³³ = 2402830831033 is a prime.

It is a super-2 number, since 2×2411420765625² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 23875453075 + ... + 23875453175.

Almost surely, 2^{2411420765625} is an apocalyptic number.

2411420765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2411420765625 is the 1552875-th square number.

2411420765625 is the 776438-th centered octagonal number.

It is an amenable number.

2411420765625 is a deficient number, since it is larger than the sum of its proper divisors (2095882809682).

2411420765625 is an frugal number, since it uses more digits than its factorization.

2411420765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2411420765625 in words is "two trillion, four hundred eleven billion, four hundred twenty million, seven hundred sixty-five thousand, six hundred twenty-five".