243825690240 has 768 divisors, whose sum is σ = 969236150400. Its totient is φ = 57450332160.

The previous prime is 243825690217. The next prime is 243825690253. The reversal of 243825690240 is 42096528342.

243825690240 is a `hidden beast` number, since 2 + 4 + 3 + 82 + 569 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 260219052 + ... + 260219988.

Almost surely, 2^243825690240 is an apocalyptic number.

243825690240 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 243825690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484618075200).

243825690240 is an abundant number, since it is smaller than the sum of its proper divisors (725410460160).

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

243825690240 is a wasteful number, since it uses less digits than its factorization.

243825690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 243825690240 in words is "two hundred forty-three billion, eight hundred twenty-five million, six hundred ninety thousand, two hundred forty".