44070320448 has 336 divisors, whose sum is σ = 157915270656. Its totient is φ = 11415905280.

The previous prime is 44070320429. The next prime is 44070320453. The reversal of 44070320448 is 84402307044.

It is a happy number.

44070320448 is a `hidden beast` number, since 4 + 407 + 0 + 3 + 204 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19646815 + ... + 19649057.

Almost surely, 2^44070320448 is an apocalyptic number.

44070320448 is a gapful number since it is divisible by the number (48) 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 44070320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78957635328).

44070320448 is an abundant number, since it is smaller than the sum of its proper divisors (113844950208).

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

44070320448 is a wasteful number, since it uses less digits than its factorization.

44070320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 44070320448 in words is "forty-four billion, seventy million, three hundred twenty thousand, four hundred forty-eight".