44102386440 has 512 divisors, whose sum is σ = 171732096000. Its totient is φ = 9859719168.

The previous prime is 44102386439. The next prime is 44102386487. The reversal of 44102386440 is 4468320144.

44102386440 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 2 + 3 + 8 + 644 + 0 = 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 = 44102386395 and 44102386404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86644906 + ... + 86645414.

It is an arithmetic number, because the mean of its divisors is an integer number (335414250).

Almost surely, 2^44102386440 is an apocalyptic number.

44102386440 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 44102386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85866048000).

44102386440 is an abundant number, since it is smaller than the sum of its proper divisors (127629709560).

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

44102386440 is a wasteful number, since it uses less digits than its factorization.

44102386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 44102386440 in words is "forty-four billion, one hundred two million, three hundred eighty-six thousand, four hundred forty".