504442204150400 has 96 divisors (see below), whose sum is σ = 1269641767441500. Its totient is φ = 197969770618880.

The previous prime is 504442204150399. The next prime is 504442204150411. The reversal of 504442204150400 is 4051402244405.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 363005224868416 + 141436979281984 = 19052696^2 + 11892728^2 .

It is a super-2 number, since 2×504442204150400² (a number of 30 digits) contains 22 as substring.

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, 1486983125 + ... + 1487322324.

Almost surely, 2^{504442204150400} is an apocalyptic number.

504442204150400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

504442204150400 is an abundant number, since it is smaller than the sum of its proper divisors (765199563291100).

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

504442204150400 is a wasteful number, since it uses less digits than its factorization.

504442204150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974305526 (or 2974305509 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 504442204150400 its reverse (4051402244405), we get a palindrome (508493606394805).

The spelling of 504442204150400 in words is "five hundred four trillion, four hundred forty-two billion, two hundred four million, one hundred fifty thousand, four hundred".