501440000000 has 208 divisors, whose sum is σ = 1254243664128. Its totient is φ = 200448000000.

The previous prime is 501439999969. The next prime is 501440000027. The reversal of 501440000000 is 44105.

It is a self number, because there is not a number n which added to its sum of digits gives 501440000000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319999217 + ... + 320000783.

It is an arithmetic number, because the mean of its divisors is an integer number (6030017616).

Almost surely, 2^501440000000 is an apocalyptic number.

501440000000 is a gapful number since it is divisible by the number (50) 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 501440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627121832064).

501440000000 is an abundant number, since it is smaller than the sum of its proper divisors (752803664128).

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

501440000000 is an frugal number, since it uses more digits than its factorization.

501440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 501440000000 its reverse (44105), we get a palindrome (501440044105).

The spelling of 501440000000 in words is "five hundred one billion, four hundred forty million", and thus it is an aban number.