4572138700800 has 1824 divisors, whose sum is σ = 19191420777600. Its totient is φ = 1070176665600.

The previous prime is 4572138700663. The next prime is 4572138700819. The reversal of 4572138700800 is 80078312754.

4572138700800 is a `hidden beast` number, since 4 + 572 + 1 + 3 + 8 + 70 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4572138700800² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 157659955186 + ... + 157659955214.

Almost surely, 2^{4572138700800} is an apocalyptic number.

4572138700800 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 4572138700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595710388800).

4572138700800 is an abundant number, since it is smaller than the sum of its proper divisors (14619282076800).

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

4572138700800 is an frugal number, since it uses more digits than its factorization.

4572138700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 4572138700800 in words is "four trillion, five hundred seventy-two billion, one hundred thirty-eight million, seven hundred thousand, eight hundred".