4004900446624 has 288 divisors, whose sum is σ = 10245509793792. Its totient is φ = 1523390400000.

The previous prime is 4004900446601. The next prime is 4004900446637. The reversal of 4004900446624 is 4266440094004.

It is a super-2 number, since 2×4004900446624² (a number of 26 digits) contains 22 as substring.

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, 126118749 + ... + 126150499.

It is an arithmetic number, because the mean of its divisors is an integer number (35574686784).

Almost surely, 2^{4004900446624} is an apocalyptic number.

4004900446624 is a gapful number since it is divisible by the number (44) 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 4004900446624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122754896896).

4004900446624 is an abundant number, since it is smaller than the sum of its proper divisors (6240609347168).

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

4004900446624 is a wasteful number, since it uses less digits than its factorization.

4004900446624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960 (or 31945 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 4004900446624 in words is "four trillion, four billion, nine hundred million, four hundred forty-six thousand, six hundred twenty-four".