242777467246140 has 144 divisors (see below), whose sum is σ = 775625177553408. Its totient is φ = 61347100374912.

The previous prime is 242777467246129. The next prime is 242777467246141. The reversal of 242777467246140 is 41642764777242.

242777467246140 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 7 + 7 + 4 + 6 + 7 + 2 + 4 + 614 + 0 = 666.

242777467246140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242777467246141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273584592 + ... + 274470551.

It is an arithmetic number, because the mean of its divisors is an integer number (5386285955232).

Almost surely, 2^{242777467246140} is an apocalyptic number.

242777467246140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242777467246140 is an abundant number, since it is smaller than the sum of its proper divisors (532847710307268).

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

242777467246140 is a wasteful number, since it uses less digits than its factorization.

242777467246140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548055288 (or 548055283 counting only the distinct ones).

The product of its (nonzero) digits is 177020928, while the sum is 63.

The spelling of 242777467246140 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, four hundred sixty-seven million, two hundred forty-six thousand, one hundred forty".