44408145856000 has 160 divisors (see below), whose sum is σ = 110768262564960. Its totient is φ = 17757840384000.

The previous prime is 44408145855973. The next prime is 44408145856033. The reversal of 44408145856000 is 65854180444.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213079846 + ... + 213288154.

It is an arithmetic number, because the mean of its divisors is an integer number (692301641031).

Almost surely, 2^{44408145856000} is an apocalyptic number.

44408145856000 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 44408145856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55384131282480).

44408145856000 is an abundant number, since it is smaller than the sum of its proper divisors (66360116708960).

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

44408145856000 is an equidigital number, since it uses as much as digits as its factorization.

44408145856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211673 (or 211647 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 49.

The spelling of 44408145856000 in words is "forty-four trillion, four hundred eight billion, one hundred forty-five million, eight hundred fifty-six thousand".