531400532400 has 150 divisors (see below), whose sum is σ = 1907153983812. Its totient is φ = 141706800000.

The previous prime is 531400532389. The next prime is 531400532449. The reversal of 531400532400 is 4235004135.

531400532400 is a `hidden beast` number, since 53 + 1 + 40 + 0 + 532 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-4 number, since 4×531400532400⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8168226 + ... + 8233025.

Almost surely, 2^531400532400 is an apocalyptic number.

531400532400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531400532400 is an abundant number, since it is smaller than the sum of its proper divisors (1375753451412).

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

531400532400 is a wasteful number, since it uses less digits than its factorization.

531400532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401281 (or 16401261 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 531400532400 its reverse (4235004135), we get a palindrome (535635536535).

The spelling of 531400532400 in words is "five hundred thirty-one billion, four hundred million, five hundred thirty-two thousand, four hundred".