4573998374400 has 2880 divisors, whose sum is σ = 21379331635200. Its totient is φ = 949224407040.

The previous prime is 4573998374399. The next prime is 4573998374411. The reversal of 4573998374400 is 44738993754.

4573998374400 is a `hidden beast` number, since 4 + 5 + 73 + 9 + 98 + 3 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4573998374400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 17391628669 + ... + 17391628931.

It is an arithmetic number, because the mean of its divisors is an integer number (7423379040).

Almost surely, 2^{4573998374400} is an apocalyptic number.

4573998374400 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 4573998374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689665817600).

4573998374400 is an abundant number, since it is smaller than the sum of its proper divisors (16805333260800).

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

4573998374400 is a wasteful number, since it uses less digits than its factorization.

4573998374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4573998374400 in words is "four trillion, five hundred seventy-three billion, nine hundred ninety-eight million, three hundred seventy-four thousand, four hundred".