243131132400 has 480 divisors, whose sum is σ = 879992343552. Its totient is φ = 56932761600.

The previous prime is 243131132381. The next prime is 243131132441. The reversal of 243131132400 is 4231131342.

It is a happy number.

It is a super-2 number, since 2×243131132400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69246645 + ... + 69250155.

Almost surely, 2^243131132400 is an apocalyptic number.

243131132400 is a gapful number since it is divisible by the number (20) 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 243131132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439996171776).

243131132400 is an abundant number, since it is smaller than the sum of its proper divisors (636861211152).

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

243131132400 is a wasteful number, since it uses less digits than its factorization.

243131132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 243131132400 its reverse (4231131342), we get a palindrome (247362263742).

The spelling of 243131132400 in words is "two hundred forty-three billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred".