4620056918400 has 2304 divisors, whose sum is σ = 21809179123200. Its totient is φ = 927247564800.

The previous prime is 4620056918381. The next prime is 4620056918419. The reversal of 4620056918400 is 48196500264.

4620056918400 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 0 + 569 + 1 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4620056918381) and next prime (4620056918419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33723043132 + ... + 33723043268.

It is an arithmetic number, because the mean of its divisors is an integer number (9465789550).

Almost surely, 2^{4620056918400} is an apocalyptic number.

4620056918400 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 4620056918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10904589561600).

4620056918400 is an abundant number, since it is smaller than the sum of its proper divisors (17189122204800).

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

4620056918400 is a wasteful number, since it uses less digits than its factorization.

4620056918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4620056918400 in words is "four trillion, six hundred twenty billion, fifty-six million, nine hundred eighteen thousand, four hundred".