44957634240 has 448 divisors, whose sum is σ = 154497024000. Its totient is φ = 11036196864.

The previous prime is 44957634233. The next prime is 44957634247. The reversal of 44957634240 is 4243675944.

It is an interprime number because it is at equal distance from previous prime (44957634233) and next prime (44957634247).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44957634240.

It is not an unprimeable number, because it can be changed into a prime (44957634247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225917661 + ... + 225917859.

Almost surely, 2^44957634240 is an apocalyptic number.

44957634240 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 44957634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512000).

44957634240 is an abundant number, since it is smaller than the sum of its proper divisors (109539389760).

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

44957634240 is a wasteful number, since it uses less digits than its factorization.

44957634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 44957634240 in words is "forty-four billion, nine hundred fifty-seven million, six hundred thirty-four thousand, two hundred forty".