44002561632 has 192 divisors, whose sum is σ = 121094959104. Its totient is φ = 13974405120.

The previous prime is 44002561613. The next prime is 44002561649. The reversal of 44002561632 is 23616520044.

It is a junction number, because it is equal to n+sod(n) for n = 44002561593 and 44002561602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90354093 + ... + 90354579.

It is an arithmetic number, because the mean of its divisors is an integer number (630702912).

Almost surely, 2^44002561632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44002561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60547479552).

44002561632 is an abundant number, since it is smaller than the sum of its proper divisors (77092397472).

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

44002561632 is a wasteful number, since it uses less digits than its factorization.

44002561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 44002561632 in words is "forty-four billion, two million, five hundred sixty-one thousand, six hundred thirty-two".