242777460073140 has 72 divisors (see below), whose sum is σ = 743181154595880. Its totient is φ = 64146705041664.

The previous prime is 242777460073103. The next prime is 242777460073157. The reversal of 242777460073140 is 41370064777242.

242777460073140 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 77 + 460 + 0 + 73 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3468131493264 + 239309328579876 = 1862292^2 + 15469626^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6186969679 + ... + 6187008918.

Almost surely, 2^{242777460073140} is an apocalyptic number.

242777460073140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242777460073140 is an abundant number, since it is smaller than the sum of its proper divisors (500403694522740).

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

242777460073140 is a wasteful number, since it uses less digits than its factorization.

242777460073140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12373978721 (or 12373978716 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 242777460073140 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, four hundred sixty million, seventy-three thousand, one hundred forty".