4044901996800 has 2592 divisors, whose sum is σ = 17870898689280. Its totient is φ = 853416345600.

The previous prime is 4044901996787. The next prime is 4044901996841. The reversal of 4044901996800 is 86991094404.

It is a happy number.

4044901996800 is a `hidden beast` number, since 4 + 0 + 4 + 490 + 1 + 99 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×4044901996800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37802822347 + ... + 37802822453.

It is an arithmetic number, because the mean of its divisors is an integer number (6894636840).

Almost surely, 2^{4044901996800} is an apocalyptic number.

4044901996800 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 4044901996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935449344640).

4044901996800 is an abundant number, since it is smaller than the sum of its proper divisors (13825996692480).

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

4044901996800 is a wasteful number, since it uses less digits than its factorization.

4044901996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4044901996800 in words is "four trillion, forty-four billion, nine hundred one million, nine hundred ninety-six thousand, eight hundred".