242157114613440 has 448 divisors, whose sum is σ = 949667176120320. Its totient is φ = 57685068656640.

The previous prime is 242157114613433. The next prime is 242157114613481. The reversal of 242157114613440 is 44316411751242.

242157114613440 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 57 + 1 + 146 + 13 + 440 = 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 63 ways as a sum of consecutive naturals, for example, 31291584 + ... + 38255423.

It is an arithmetic number, because the mean of its divisors is an integer number (2119792803840).

Almost surely, 2^{242157114613440} is an apocalyptic number.

242157114613440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242157114613440 is an abundant number, since it is smaller than the sum of its proper divisors (707510061506880).

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

242157114613440 is a wasteful number, since it uses less digits than its factorization.

242157114613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69547077 (or 69547061 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 242157114613440 in words is "two hundred forty-two trillion, one hundred fifty-seven billion, one hundred fourteen million, six hundred thirteen thousand, four hundred forty".