4905621880320 has 2560 divisors, whose sum is σ = 21260444958720. Its totient is φ = 937395486720.

The previous prime is 4905621880319. The next prime is 4905621880333. The reversal of 4905621880320 is 230881265094.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4905621880320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28356195754 + ... + 28356195926.

It is an arithmetic number, because the mean of its divisors is an integer number (8304861312).

Almost surely, 2^{4905621880320} is an apocalyptic number.

4905621880320 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 4905621880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630222479360).

4905621880320 is an abundant number, since it is smaller than the sum of its proper divisors (16354823078400).

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

4905621880320 is a wasteful number, since it uses less digits than its factorization.

4905621880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 4905621880320 in words is "four trillion, nine hundred five billion, six hundred twenty-one million, eight hundred eighty thousand, three hundred twenty".