531323400400 has 240 divisors, whose sum is σ = 1411820137728. Its totient is φ = 190930176000.

The previous prime is 531323400397. The next prime is 531323400449. The reversal of 531323400400 is 4004323135.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44230395 + ... + 44242405.

Almost surely, 2^531323400400 is an apocalyptic number.

531323400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531323400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705910068864).

531323400400 is an abundant number, since it is smaller than the sum of its proper divisors (880496737328).

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

531323400400 is a wasteful number, since it uses less digits than its factorization.

531323400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 531323400400 its reverse (4004323135), we get a palindrome (535327723535).

The spelling of 531323400400 in words is "five hundred thirty-one billion, three hundred twenty-three million, four hundred thousand, four hundred".