44275429440 has 840 divisors, whose sum is σ = 182471446080. Its totient is φ = 10154833920.

The previous prime is 44275429439. The next prime is 44275429469. The reversal of 44275429440 is 4492457244.

44275429440 is a `hidden beast` number, since 44 + 27 + 542 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59589709 + ... + 59590451.

It is an arithmetic number, because the mean of its divisors is an integer number (217227912).

Almost surely, 2^44275429440 is an apocalyptic number.

44275429440 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 44275429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91235723040).

44275429440 is an abundant number, since it is smaller than the sum of its proper divisors (138196016640).

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

44275429440 is a wasteful number, since it uses less digits than its factorization.

44275429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 44275429440 in words is "forty-four billion, two hundred seventy-five million, four hundred twenty-nine thousand, four hundred forty".