440728135680 has 576 divisors, whose sum is σ = 1669579067520. Its totient is φ = 97224228864.

The previous prime is 440728135669. The next prime is 440728135723. The reversal of 440728135680 is 86531827044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180847422 + ... + 180849858.

It is an arithmetic number, because the mean of its divisors is an integer number (2898574770).

Almost surely, 2^440728135680 is an apocalyptic number.

440728135680 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 440728135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834789533760).

440728135680 is an abundant number, since it is smaller than the sum of its proper divisors (1228850931840).

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

440728135680 is a wasteful number, since it uses less digits than its factorization.

440728135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 440728135680 in words is "four hundred forty billion, seven hundred twenty-eight million, one hundred thirty-five thousand, six hundred eighty".