44053057440 has 768 divisors, whose sum is σ = 189510451200. Its totient is φ = 9328214016.

The previous prime is 44053057417. The next prime is 44053057441. The reversal of 44053057440 is 4475035044.

44053057440 is a `hidden beast` number, since 4 + 40 + 5 + 3 + 0 + 574 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44053057395 and 44053057404.

It is not an unprimeable number, because it can be changed into a prime (44053057441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34442721 + ... + 34443999.

It is an arithmetic number, because the mean of its divisors is an integer number (246758400).

Almost surely, 2^44053057440 is an apocalyptic number.

44053057440 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 44053057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94755225600).

44053057440 is an abundant number, since it is smaller than the sum of its proper divisors (145457393760).

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

44053057440 is a wasteful number, since it uses less digits than its factorization.

44053057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 44053057440 in words is "forty-four billion, fifty-three million, fifty-seven thousand, four hundred forty".