440245399128 has 512 divisors, whose sum is σ = 1290475929600. Its totient is φ = 124366233600.

The previous prime is 440245399123. The next prime is 440245399129. The reversal of 440245399128 is 821993542044.

It is a super-2 number, since 2×440245399128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440245399123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1624521633 + ... + 1624521903.

It is an arithmetic number, because the mean of its divisors is an integer number (2520460800).

Almost surely, 2^440245399128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440245399128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645237964800).

440245399128 is an abundant number, since it is smaller than the sum of its proper divisors (850230530472).

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

440245399128 is a wasteful number, since it uses less digits than its factorization.

440245399128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 440245399128 in words is "four hundred forty billion, two hundred forty-five million, three hundred ninety-nine thousand, one hundred twenty-eight".