44259631104 has 448 divisors, whose sum is σ = 139708981440. Its totient is φ = 12331253760.

The previous prime is 44259631081. The next prime is 44259631127. The reversal of 44259631104 is 40113695244.

It is an interprime number because it is at equal distance from previous prime (44259631081) and next prime (44259631127).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157507444 + ... + 157507724.

It is an arithmetic number, because the mean of its divisors is an integer number (311850405).

Almost surely, 2^44259631104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44259631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854490720).

44259631104 is an abundant number, since it is smaller than the sum of its proper divisors (95449350336).

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

44259631104 is a wasteful number, since it uses less digits than its factorization.

44259631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 44259631104 in words is "forty-four billion, two hundred fifty-nine million, six hundred thirty-one thousand, one hundred four".