4404281290120 has 64 divisors (see below), whose sum is σ = 9935662176000. Its totient is φ = 1757091011328.

The previous prime is 4404281290111. The next prime is 4404281290163. The reversal of 4404281290120 is 210921824044.

It is a super-2 number, since 2×4404281290120² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4404281290120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23912541 + ... + 24096019.

It is an arithmetic number, because the mean of its divisors is an integer number (155244721500).

Almost surely, 2^{4404281290120} is an apocalyptic number.

4404281290120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404281290120 is an abundant number, since it is smaller than the sum of its proper divisors (5531380885880).

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

4404281290120 is a wasteful number, since it uses less digits than its factorization.

4404281290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185062 (or 185058 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 4404281290120 in words is "four trillion, four hundred four billion, two hundred eighty-one million, two hundred ninety thousand, one hundred twenty".