44132014080 has 960 divisors, whose sum is σ = 197500343040. Its totient is φ = 9157017600.

The previous prime is 44132014063. The next prime is 44132014099. The reversal of 44132014080 is 8041023144.

44132014080 is a `hidden beast` number, since 4 + 413 + 201 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866535 + ... + 63867225.

It is an arithmetic number, because the mean of its divisors is an integer number (205729524).

Almost surely, 2^44132014080 is an apocalyptic number.

44132014080 is a gapful number since it is divisible by the number (40) 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 44132014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98750171520).

44132014080 is an abundant number, since it is smaller than the sum of its proper divisors (153368328960).

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

44132014080 is a wasteful number, since it uses less digits than its factorization.

44132014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 44132014080 in words is "forty-four billion, one hundred thirty-two million, fourteen thousand, eighty".