4901604556800 has 1728 divisors, whose sum is σ = 20470809784320. Its totient is φ = 1009023713280.

The previous prime is 4901604556799. The next prime is 4901604556801. The reversal of 4901604556800 is 86554061094.

It is an interprime number because it is at equal distance from previous prime (4901604556799) and next prime (4901604556801).

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 4901604556800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901604556801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30071193519 + ... + 30071193681.

It is an arithmetic number, because the mean of its divisors is an integer number (11846533440).

Almost surely, 2^{4901604556800} is an apocalyptic number.

4901604556800 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 4901604556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235404892160).

4901604556800 is an abundant number, since it is smaller than the sum of its proper divisors (15569205227520).

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

4901604556800 is a wasteful number, since it uses less digits than its factorization.

4901604556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 4901604556800 in words is "four trillion, nine hundred one billion, six hundred four million, five hundred fifty-six thousand, eight hundred".