242687953440 has 192 divisors, whose sum is σ = 863333493120. Its totient is φ = 63655787520.

The previous prime is 242687953421. The next prime is 242687953481. The reversal of 242687953440 is 44359786242.

It is a happy number.

242687953440 is a `hidden beast` number, since 2 + 4 + 2 + 68 + 7 + 9 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196954 + ... + 723993.

It is an arithmetic number, because the mean of its divisors is an integer number (4496528610).

Almost surely, 2^242687953440 is an apocalyptic number.

242687953440 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 242687953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431666746560).

242687953440 is an abundant number, since it is smaller than the sum of its proper divisors (620645539680).

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

242687953440 is a wasteful number, since it uses less digits than its factorization.

242687953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921032 (or 921018 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 242687953440 in words is "two hundred forty-two billion, six hundred eighty-seven million, nine hundred fifty-three thousand, four hundred forty".