44801424640 has 144 divisors (see below), whose sum is σ = 129858688512. Its totient is φ = 14456881152.

The previous prime is 44801424631. The next prime is 44801424649. The reversal of 44801424640 is 4642410844.

It is an interprime number because it is at equal distance from previous prime (44801424631) and next prime (44801424649).

It is a self number, because there is not a number n which added to its sum of digits gives 44801424640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44801424649) 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 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 299383.

It is an arithmetic number, because the mean of its divisors is an integer number (901796448).

Almost surely, 2^44801424640 is an apocalyptic number.

44801424640 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 44801424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64929344256).

44801424640 is an abundant number, since it is smaller than the sum of its proper divisors (85057263872).

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

44801424640 is a wasteful number, since it uses less digits than its factorization.

44801424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294172 (or 294158 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 44801424640 in words is "forty-four billion, eight hundred one million, four hundred twenty-four thousand, six hundred forty".