242211334945680 has 240 divisors, whose sum is σ = 862849578449664. Its totient is φ = 60679160156160.

The previous prime is 242211334945669. The next prime is 242211334945739. The reversal of 242211334945680 is 86549433112242.

242211334945680 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 1 + 33 + 49 + 4 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11392936 + ... + 24783495.

Almost surely, 2^{242211334945680} is an apocalyptic number.

242211334945680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242211334945680 is an abundant number, since it is smaller than the sum of its proper divisors (620638243503984).

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

242211334945680 is a wasteful number, since it uses less digits than its factorization.

242211334945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36177014 (or 36177005 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 242211334945680 in words is "two hundred forty-two trillion, two hundred eleven billion, three hundred thirty-four million, nine hundred forty-five thousand, six hundred eighty".