4521957801984 has 960 divisors, whose sum is σ = 15899282380800. Its totient is φ = 1243457519616.

The previous prime is 4521957801947. The next prime is 4521957802123. The reversal of 4521957801984 is 4891087591254.

4521957801984 is a `hidden beast` number, since 4 + 52 + 1 + 9 + 578 + 0 + 1 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9682992919 + ... + 9682993385.

It is an arithmetic number, because the mean of its divisors is an integer number (16561752480).

Almost surely, 2^{4521957801984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4521957801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949641190400).

4521957801984 is an abundant number, since it is smaller than the sum of its proper divisors (11377324578816).

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

4521957801984 is an equidigital number, since it uses as much as digits as its factorization.

4521957801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 4521957801984 in words is "four trillion, five hundred twenty-one billion, nine hundred fifty-seven million, eight hundred one thousand, nine hundred eighty-four".