44475763681440 has 3456 divisors, whose sum is σ = 207566439155712. Its totient is φ = 8901696061440.

The previous prime is 44475763681421. The next prime is 44475763681477. The reversal of 44475763681440 is 4418636757444.

44475763681440 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 57 + 63 + 6 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40691457534 + ... + 40691458626.

It is an arithmetic number, because the mean of its divisors is an integer number (60059733552).

Almost surely, 2^{44475763681440} is an apocalyptic number.

44475763681440 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 44475763681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783219577856).

44475763681440 is an abundant number, since it is smaller than the sum of its proper divisors (163090675474272).

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

44475763681440 is a wasteful number, since it uses less digits than its factorization.

44475763681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 44475763681440 in words is "forty-four trillion, four hundred seventy-five billion, seven hundred sixty-three million, six hundred eighty-one thousand, four hundred forty".