4915412100 has 405 divisors, whose sum is σ = 17236748991. Its totient is φ = 1211500800.

The previous prime is 4915412093. The next prime is 4915412143. The reversal of 4915412100 is 12145194.

The square root of 4915412100 is 70110.

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

4915412100 is a `hidden beast` number, since 491 + 54 + 121 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2068976196 + 2846435904 = 45486^2 + 53352^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×4915412100² = 48322552225652820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 119888080 + ... + 119888120.

Almost surely, 2^4915412100 is an apocalyptic number.

4915412100 is the 70110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4915412100

4915412100 is an abundant number, since it is smaller than the sum of its proper divisors (12321336891).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4915412100 is a wasteful number, since it uses less digits than its factorization.

4915412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 4915412100 is about 1700.2781667079.

Adding to 4915412100 its reverse (12145194), we get a palindrome (4927557294).

The spelling of 4915412100 in words is "four billion, nine hundred fifteen million, four hundred twelve thousand, one hundred".