44000772480 has 512 divisors, whose sum is σ = 179448192000. Its totient is φ = 9981149184.

The previous prime is 44000772469. The next prime is 44000772509. The reversal of 44000772480 is 8427700044.

44000772480 is a `hidden beast` number, since 4 + 400 + 0 + 7 + 7 + 248 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16812132 + ... + 16814748.

It is an arithmetic number, because the mean of its divisors is an integer number (350484750).

Almost surely, 2^44000772480 is an apocalyptic number.

44000772480 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 44000772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89724096000).

44000772480 is an abundant number, since it is smaller than the sum of its proper divisors (135447419520).

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

44000772480 is a wasteful number, since it uses less digits than its factorization.

44000772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 44000772480 in words is "forty-four billion, seven hundred seventy-two thousand, four hundred eighty".