4100464512 has 256 divisors, whose sum is σ = 12646368000. Its totient is φ = 1306368000.

The previous prime is 4100464507. The next prime is 4100464547. The reversal of 4100464512 is 2154640014.

4100464512 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 4 + 645 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16336387 + ... + 16336637.

It is an arithmetic number, because the mean of its divisors is an integer number (49399875).

Almost surely, 2^4100464512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323184000).

4100464512 is an abundant number, since it is smaller than the sum of its proper divisors (8545903488).

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

4100464512 is a wasteful number, since it uses less digits than its factorization.

4100464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4100464512 is about 64034.8695009211. The cubic root of 4100464512 is about 1600.5811055888.

The spelling of 4100464512 in words is "four billion, one hundred million, four hundred sixty-four thousand, five hundred twelve".