242401114944 has 112 divisors (see below), whose sum is σ = 737187451200. Its totient is φ = 78014135808.

The previous prime is 242401114913. The next prime is 242401115009. The reversal of 242401114944 is 449411104242.

242401114944 is a `hidden beast` number, since 242 + 401 + 1 + 1 + 4 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242401114899 and 242401114908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2368482 + ... + 2468705.

Almost surely, 2^242401114944 is an apocalyptic number.

242401114944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242401114944 is an abundant number, since it is smaller than the sum of its proper divisors (494786336256).

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

242401114944 is a wasteful number, since it uses less digits than its factorization.

242401114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837237 (or 4837221 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 242401114944 in words is "two hundred forty-two billion, four hundred one million, one hundred fourteen thousand, nine hundred forty-four".