44414411832 has 480 divisors, whose sum is σ = 153633157920. Its totient is φ = 11927139840.

The previous prime is 44414411831. The next prime is 44414411879. The reversal of 44414411832 is 23811441444.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44414411831) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44547558 + ... + 44548554.

It is an arithmetic number, because the mean of its divisors is an integer number (320069079).

Almost surely, 2^44414411832 is an apocalyptic number.

44414411832 is a gapful number since it is divisible by the number (42) 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 44414411832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76816578960).

44414411832 is an abundant number, since it is smaller than the sum of its proper divisors (109218746088).

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

44414411832 is a wasteful number, since it uses less digits than its factorization.

44414411832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1093 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 44414411832 in words is "forty-four billion, four hundred fourteen million, four hundred eleven thousand, eight hundred thirty-two".