44331043968 has 96 divisors (see below), whose sum is σ = 127653224400. Its totient is φ = 14767050240.

The previous prime is 44331043961. The next prime is 44331043969. The reversal of 44331043968 is 86934013344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×44331043968³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44331043961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806823 + ... + 1831193.

Almost surely, 2^44331043968 is an apocalyptic number.

44331043968 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 44331043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63826612200).

44331043968 is an abundant number, since it is smaller than the sum of its proper divisors (83322180432).

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

44331043968 is a wasteful number, since it uses less digits than its factorization.

44331043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25970 (or 25955 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

It can be divided in two parts, 4433 and 1043968, that added together give a palindrome (1048401).

The spelling of 44331043968 in words is "forty-four billion, three hundred thirty-one million, forty-three thousand, nine hundred sixty-eight".