44330001408 has 660 divisors, whose sum is σ = 166556627776. Its totient is φ = 11496038400.

The previous prime is 44330001379. The next prime is 44330001479. The reversal of 44330001408 is 80410003344.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70253253 + ... + 70253883.

Almost surely, 2^44330001408 is an apocalyptic number.

44330001408 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 44330001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83278313888).

44330001408 is an abundant number, since it is smaller than the sum of its proper divisors (122226626368).

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

44330001408 is a wasteful number, since it uses less digits than its factorization.

44330001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 44330001408 in words is "forty-four billion, three hundred thirty million, one thousand, four hundred eight".