243824800440 has 256 divisors, whose sum is σ = 870345907200. Its totient is φ = 54031785984.

The previous prime is 243824800399. The next prime is 243824800451. The reversal of 243824800440 is 44008428342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410091 + ... + 809829.

It is an arithmetic number, because the mean of its divisors is an integer number (3399788700).

Almost surely, 2^243824800440 is an apocalyptic number.

243824800440 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 243824800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435172953600).

243824800440 is an abundant number, since it is smaller than the sum of its proper divisors (626521106760).

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

243824800440 is a wasteful number, since it uses less digits than its factorization.

243824800440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399806 (or 399802 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 243824800440 in words is "two hundred forty-three billion, eight hundred twenty-four million, eight hundred thousand, four hundred forty".