44012435328 has 192 divisors, whose sum is σ = 135009342000. Its totient is φ = 13714243584.

The previous prime is 44012435317. The next prime is 44012435419. The reversal of 44012435328 is 82353421044.

44012435328 is a `hidden beast` number, since 4 + 401 + 243 + 5 + 3 + 2 + 8 = 666.

44012435328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 44012435292 and 44012435301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2910475 + ... + 2925557.

Almost surely, 2^44012435328 is an apocalyptic number.

44012435328 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 44012435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67504671000).

44012435328 is an abundant number, since it is smaller than the sum of its proper divisors (90996906672).

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

44012435328 is a wasteful number, since it uses less digits than its factorization.

44012435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269 (or 15254 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 44012435328 in words is "forty-four billion, twelve million, four hundred thirty-five thousand, three hundred twenty-eight".