4880996144640 has 3840 divisors, whose sum is σ = 23389544116224. Its totient is φ = 910924185600.

The previous prime is 4880996144623. The next prime is 4880996144659. The reversal of 4880996144640 is 464416990884.

4880996144640 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 9 + 9 + 614 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 80016330210 + ... + 80016330270.

Almost surely, 2^{4880996144640} is an apocalyptic number.

4880996144640 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 4880996144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694772058112).

4880996144640 is an abundant number, since it is smaller than the sum of its proper divisors (18508547971584).

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

4880996144640 is a wasteful number, since it uses less digits than its factorization.

4880996144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4880996144640 in words is "four trillion, eight hundred eighty billion, nine hundred ninety-six million, one hundred forty-four thousand, six hundred forty".