4910400800 has 72 divisors (see below), whose sum is σ = 12002356800. Its totient is φ = 1961729280.

The previous prime is 4910400799. The next prime is 4910400821. The reversal of 4910400800 is 80040194.

It is a super-2 number, since 2×4910400800² = 48224072033281280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4910400800.

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 11 ways as a sum of consecutive naturals, for example, 731861 + ... + 738539.

It is an arithmetic number, because the mean of its divisors is an integer number (166699400).

Almost surely, 2^4910400800 is an apocalyptic number.

4910400800 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 4910400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001178400).

4910400800 is an abundant number, since it is smaller than the sum of its proper divisors (7091956000).

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

4910400800 is a wasteful number, since it uses less digits than its factorization.

4910400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4910400800 is about 70074.2520473819. The cubic root of 4910400800 is about 1699.7001547290.

Adding to 4910400800 its reverse (80040194), we get a palindrome (4990440994).

The spelling of 4910400800 in words is "four billion, nine hundred ten million, four hundred thousand, eight hundred".