44038874880 has 2304 divisors, whose sum is σ = 224166297600. Its totient is φ = 7882997760.

The previous prime is 44038874849. The next prime is 44038874903. The reversal of 44038874880 is 8847883044.

It is a happy number.

44038874880 is a `hidden beast` number, since 440 + 3 + 8 + 87 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 657296607 + ... + 657296673.

It is an arithmetic number, because the mean of its divisors is an integer number (97294400).

Almost surely, 2^44038874880 is an apocalyptic number.

44038874880 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 44038874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112083148800).

44038874880 is an abundant number, since it is smaller than the sum of its proper divisors (180127422720).

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

44038874880 is a wasteful number, since it uses less digits than its factorization.

44038874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 44038874880 in words is "forty-four billion, thirty-eight million, eight hundred seventy-four thousand, eight hundred eighty".