242777353013440 has 224 divisors, whose sum is σ = 698969847168000. Its totient is φ = 78460735795200.

The previous prime is 242777353013339. The next prime is 242777353013441. The reversal of 242777353013440 is 44310353777242.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (242777353013441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5863111 + ... + 22801990.

Almost surely, 2^{242777353013440} is an apocalyptic number.

242777353013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242777353013440 is an abundant number, since it is smaller than the sum of its proper divisors (456192494154560).

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

242777353013440 is a wasteful number, since it uses less digits than its factorization.

242777353013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28665343 (or 28665333 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 52.

The spelling of 242777353013440 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, three hundred fifty-three million, thirteen thousand, four hundred forty".