4754590228800 has 840 divisors, whose sum is σ = 18421212763800. Its totient is φ = 1201022484480.

The previous prime is 4754590228789. The next prime is 4754590228837. The reversal of 4754590228800 is 88220954574.

4754590228800 is a `hidden beast` number, since 4 + 7 + 545 + 90 + 2 + 2 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 307519047936 + 4447071180864 = 554544^2 + 2108808^2 .

It is a super-2 number, since 2×4754590228800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199183266 + ... + 199207134.

It is an arithmetic number, because the mean of its divisors is an integer number (21930015195).

Almost surely, 2^{4754590228800} is an apocalyptic number.

4754590228800 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 4754590228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210606381900).

4754590228800 is an abundant number, since it is smaller than the sum of its proper divisors (13666622535000).

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

4754590228800 is a wasteful number, since it uses less digits than its factorization.

4754590228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23985 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4754590228800 in words is "four trillion, seven hundred fifty-four billion, five hundred ninety million, two hundred twenty-eight thousand, eight hundred".