44934289920 has 800 divisors, whose sum is σ = 176346213120. Its totient is φ = 10868981760.

The previous prime is 44934289919. The next prime is 44934289943. The reversal of 44934289920 is 2998243944.

44934289920 is a `hidden beast` number, since 4 + 493 + 42 + 8 + 99 + 20 = 666.

It is a super-2 number, since 2×44934289920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212958615 + ... + 212958825.

Almost surely, 2^44934289920 is an apocalyptic number.

44934289920 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 44934289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88173106560).

44934289920 is an abundant number, since it is smaller than the sum of its proper divisors (131411923200).

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

44934289920 is a wasteful number, since it uses less digits than its factorization.

44934289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 44934289920 in words is "forty-four billion, nine hundred thirty-four million, two hundred eighty-nine thousand, nine hundred twenty".