44289685440 has 1344 divisors, whose sum is σ = 212486077440. Its totient is φ = 8480194560.

The previous prime is 44289685423. The next prime is 44289685481. The reversal of 44289685440 is 4458698244.

It is a happy number.

44289685440 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 96 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 77837476 + ... + 77838044.

It is an arithmetic number, because the mean of its divisors is an integer number (158099760).

Almost surely, 2^44289685440 is an apocalyptic number.

44289685440 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 44289685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243038720).

44289685440 is an abundant number, since it is smaller than the sum of its proper divisors (168196392000).

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

44289685440 is a wasteful number, since it uses less digits than its factorization.

44289685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 44289685440 in words is "forty-four billion, two hundred eighty-nine million, six hundred eighty-five thousand, four hundred forty".