44256859920 has 320 divisors, whose sum is σ = 187619658240. Its totient is φ = 9337669632.

The previous prime is 44256859859. The next prime is 44256859931. The reversal of 44256859920 is 2995865244.

44256859920 is a `hidden beast` number, since 4 + 4 + 2 + 568 + 59 + 9 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 83982 + ... + 309138.

It is an arithmetic number, because the mean of its divisors is an integer number (586311432).

Almost surely, 2^44256859920 is an apocalyptic number.

44256859920 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 44256859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93809829120).

44256859920 is an abundant number, since it is smaller than the sum of its proper divisors (143362798320).

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

44256859920 is a wasteful number, since it uses less digits than its factorization.

44256859920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225199 (or 225187 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 44256859920 in words is "forty-four billion, two hundred fifty-six million, eight hundred fifty-nine thousand, nine hundred twenty".