242289407773440 has 864 divisors, whose sum is σ = 908932902958080. Its totient is φ = 59351031742464.

The previous prime is 242289407773417. The next prime is 242289407773489. The reversal of 242289407773440 is 44377704982242.

242289407773440 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 89 + 40 + 7 + 7 + 73 + 440 = 666.

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, 11983243651 + ... + 11983263869.

It is an arithmetic number, because the mean of its divisors is an integer number (1052005674720).

Almost surely, 2^{242289407773440} is an apocalyptic number.

242289407773440 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 242289407773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454466451479040).

242289407773440 is an abundant number, since it is smaller than the sum of its proper divisors (666643495184640).

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

242289407773440 is a wasteful number, since it uses less digits than its factorization.

242289407773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21729 (or 21712 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 242289407773440 in words is "two hundred forty-two trillion, two hundred eighty-nine billion, four hundred seven million, seven hundred seventy-three thousand, four hundred forty".