440590113028368 has 320 divisors, whose sum is σ = 1273221151488000. Its totient is φ = 145872724824576.

The previous prime is 440590113028363. The next prime is 440590113028393. The reversal of 440590113028368 is 863820311095044.

It is a happy number.

440590113028368 is a `hidden beast` number, since 4 + 4 + 0 + 590 + 1 + 13 + 0 + 2 + 8 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (440590113028363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74185905943 + ... + 74185911881.

It is an arithmetic number, because the mean of its divisors is an integer number (3978816098400).

Almost surely, 2^{440590113028368} is an apocalyptic number.

440590113028368 is a gapful number since it is divisible by the number (48) 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 440590113028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636610575744000).

440590113028368 is an abundant number, since it is smaller than the sum of its proper divisors (832631038459632).

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

440590113028368 is a wasteful number, since it uses less digits than its factorization.

440590113028368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 440590113028368 in words is "four hundred forty trillion, five hundred ninety billion, one hundred thirteen million, twenty-eight thousand, three hundred sixty-eight".