243532340400 has 240 divisors, whose sum is σ = 840274413440. Its totient is φ = 60092928000.

The previous prime is 243532340383. The next prime is 243532340449. The reversal of 243532340400 is 4043235342.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×243532340400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 856200 + ... + 1104600.

Almost surely, 2^243532340400 is an apocalyptic number.

243532340400 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 243532340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420137206720).

243532340400 is an abundant number, since it is smaller than the sum of its proper divisors (596742073040).

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

243532340400 is a wasteful number, since it uses less digits than its factorization.

243532340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248484 (or 248473 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 243532340400 its reverse (4043235342), we get a palindrome (247575575742).

The spelling of 243532340400 in words is "two hundred forty-three billion, five hundred thirty-two million, three hundred forty thousand, four hundred".