243026402400 has 432 divisors, whose sum is σ = 888996444336. Its totient is φ = 62426972160.

The previous prime is 243026402369. The next prime is 243026402449. The reversal of 243026402400 is 4204620342.

243026402400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22595424 + ... + 22606176.

Almost surely, 2^243026402400 is an apocalyptic number.

243026402400 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 243026402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444498222168).

243026402400 is an abundant number, since it is smaller than the sum of its proper divisors (645970041936).

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

243026402400 is a wasteful number, since it uses less digits than its factorization.

243026402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 243026402400 in words is "two hundred forty-three billion, twenty-six million, four hundred two thousand, four hundred".