4612415270400 has 1440 divisors, whose sum is σ = 19651708876800. Its totient is φ = 1049513656320.

The previous prime is 4612415270299. The next prime is 4612415270447. The reversal of 4612415270400 is 40725142164.

4612415270400 is a `hidden beast` number, since 4 + 6 + 1 + 241 + 5 + 2 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7598706897 + ... + 7598707503.

Almost surely, 2^{4612415270400} is an apocalyptic number.

4612415270400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612415270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825854438400).

4612415270400 is an abundant number, since it is smaller than the sum of its proper divisors (15039293606400).

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

4612415270400 is an equidigital number, since it uses as much as digits as its factorization.

4612415270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4612415270400 in words is "four trillion, six hundred twelve billion, four hundred fifteen million, two hundred seventy thousand, four hundred".