44248960000 has 660 divisors, whose sum is σ = 137782964088. Its totient is φ = 14106624000.

The previous prime is 44248959991. The next prime is 44248960031. The reversal of 44248960000 is 6984244.

It is a super-2 number, since 2×44248960000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 533119959 + ... + 533120041.

Almost surely, 2^44248960000 is an apocalyptic number.

44248960000 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 44248960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68891482044).

44248960000 is an abundant number, since it is smaller than the sum of its proper divisors (93534004088).

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

44248960000 is an equidigital number, since it uses as much as digits as its factorization.

44248960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 44248960000 in words is "forty-four billion, two hundred forty-eight million, nine hundred sixty thousand".