4401868800 has 624 divisors, whose sum is σ = 17551019520. Its totient is φ = 951582720.

The previous prime is 4401868789. The next prime is 4401868859. The reversal of 4401868800 is 88681044.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49459156 + ... + 49459244.

Almost surely, 2^4401868800 is an apocalyptic number.

4401868800 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 4401868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775509760).

4401868800 is an abundant number, since it is smaller than the sum of its proper divisors (13149150720).

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

4401868800 is a wasteful number, since it uses less digits than its factorization.

4401868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 4401868800 is about 66346.5809217024. The cubic root of 4401868800 is about 1638.8745004238.

The spelling of 4401868800 in words is "four billion, four hundred one million, eight hundred sixty-eight thousand, eight hundred".