501444412560 has 2400 divisors, whose sum is σ = 2327588524800. Its totient is φ = 99005276160.

The previous prime is 501444412523. The next prime is 501444412571. The reversal of 501444412560 is 65214444105.

501444412560 is a `hidden beast` number, since 5 + 0 + 1 + 44 + 44 + 12 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7062597325 + ... + 7062597395.

It is an arithmetic number, because the mean of its divisors is an integer number (969828552).

Almost surely, 2^501444412560 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 501444412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163794262400).

501444412560 is an abundant number, since it is smaller than the sum of its proper divisors (1826144112240).

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

501444412560 is a wasteful number, since it uses less digits than its factorization.

501444412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 501444412560 its reverse (65214444105), we get a palindrome (566658856665).

The spelling of 501444412560 in words is "five hundred one billion, four hundred forty-four million, four hundred twelve thousand, five hundred sixty".