4566016152400 has 240 divisors, whose sum is σ = 11696035780800. Its totient is φ = 1708014919680.

The previous prime is 4566016152377. The next prime is 4566016152449. The reversal of 4566016152400 is 42516106654.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052803032 + ... + 1052807368.

It is an arithmetic number, because the mean of its divisors is an integer number (48733482420).

Almost surely, 2^{4566016152400} is an apocalyptic number.

4566016152400 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 4566016152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848017890400).

4566016152400 is an abundant number, since it is smaller than the sum of its proper divisors (7130019628400).

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

4566016152400 is a wasteful number, since it uses less digits than its factorization.

4566016152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 4566016152400 in words is "four trillion, five hundred sixty-six billion, sixteen million, one hundred fifty-two thousand, four hundred".