440500122430000 has 400 divisors, whose sum is σ = 1142810178681600. Its totient is φ = 163930884480000.

The previous prime is 440500122429971. The next prime is 440500122430021. The reversal of 440500122430000 is 34221005044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11355710605 + ... + 11355749395.

It is an arithmetic number, because the mean of its divisors is an integer number (2857025446704).

Almost surely, 2^{440500122430000} is an apocalyptic number.

440500122430000 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 440500122430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571405089340800).

440500122430000 is an abundant number, since it is smaller than the sum of its proper divisors (702310056251600).

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

440500122430000 is a wasteful number, since it uses less digits than its factorization.

440500122430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39910 (or 39889 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 440500122430000 its reverse (34221005044), we get a palindrome (440534343435044).

The spelling of 440500122430000 in words is "four hundred forty trillion, five hundred billion, one hundred twenty-two million, four hundred thirty thousand".