244404357120 has 1728 divisors, whose sum is σ = 1109277711360. Its totient is φ = 48660480000.

The previous prime is 244404357103. The next prime is 244404357143. The reversal of 244404357120 is 21753404442.

244404357120 is a `hidden beast` number, since 2 + 4 + 4 + 40 + 43 + 571 + 2 + 0 = 666.

244404357120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2419845070 + ... + 2419845170.

It is an arithmetic number, because the mean of its divisors is an integer number (641943120).

Almost surely, 2^244404357120 is an apocalyptic number.

244404357120 is a gapful number since it is divisible by the number (20) 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 244404357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554638855680).

244404357120 is an abundant number, since it is smaller than the sum of its proper divisors (864873354240).

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

244404357120 is a wasteful number, since it uses less digits than its factorization.

244404357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 244404357120 in words is "two hundred forty-four billion, four hundred four million, three hundred fifty-seven thousand, one hundred twenty".