504325121440400 has 60 divisors (see below), whose sum is σ = 1304844266140212. Its totient is φ = 186212352529920.

The previous prime is 504325121440367. The next prime is 504325121440417. The reversal of 504325121440400 is 4044121523405.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6043258556416 + 498281862883984 = 2458304^2 + 22322228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48492794939 + ... + 48492805338.

Almost surely, 2^{504325121440400} is an apocalyptic number.

504325121440400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

504325121440400 is an abundant number, since it is smaller than the sum of its proper divisors (800519144699812).

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

504325121440400 is a wasteful number, since it uses less digits than its factorization.

504325121440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96985600308 (or 96985600297 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 504325121440400 its reverse (4044121523405), we get a palindrome (508369242963805).

The spelling of 504325121440400 in words is "five hundred four trillion, three hundred twenty-five billion, one hundred twenty-one million, four hundred forty thousand, four hundred".