44101693440 has 936 divisors, whose sum is σ = 187912679760. Its totient is φ = 9512681472.

The previous prime is 44101693429. The next prime is 44101693453. The reversal of 44101693440 is 4439610144.

It is a happy number.

44101693440 is a `hidden beast` number, since 44 + 10 + 169 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44101693395 and 44101693404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171601792 + ... + 171602048.

It is an arithmetic number, because the mean of its divisors is an integer number (200761410).

Almost surely, 2^44101693440 is an apocalyptic number.

44101693440 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 44101693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956339880).

44101693440 is an abundant number, since it is smaller than the sum of its proper divisors (143810986320).

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

44101693440 is a wasteful number, since it uses less digits than its factorization.

44101693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 44101693440 in words is "forty-four billion, one hundred one million, six hundred ninety-three thousand, four hundred forty".