504222430251540 has 1152 divisors, whose sum is σ = 1938124251463680. Its totient is φ = 95289384960000.

The previous prime is 504222430251437. The next prime is 504222430251557. The reversal of 504222430251540 is 45152034222405.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105024457140 + ... + 105024461940.

It is an arithmetic number, because the mean of its divisors is an integer number (1682399523840).

Almost surely, 2^{504222430251540} 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 504222430251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969062125731840).

504222430251540 is an abundant number, since it is smaller than the sum of its proper divisors (1433901821212140).

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

504222430251540 is a wasteful number, since it uses less digits than its factorization.

504222430251540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 504222430251540 its reverse (45152034222405), we get a palindrome (549374464473945).

The spelling of 504222430251540 in words is "five hundred four trillion, two hundred twenty-two billion, four hundred thirty million, two hundred fifty-one thousand, five hundred forty".