242540416311 has 16 divisors (see below), whose sum is σ = 343916966400. Its totient is φ = 151604206848.

The previous prime is 242540416303. The next prime is 242540416331. The reversal of 242540416311 is 113614045242.

It is a happy number.

It is not a de Polignac number, because 242540416311 - 2³ = 242540416303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242540416301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21927951 + ... + 21939008.

It is an arithmetic number, because the mean of its divisors is an integer number (21494810400).

Almost surely, 2^242540416311 is an apocalyptic number.

242540416311 is a deficient number, since it is larger than the sum of its proper divisors (101376550089).

242540416311 is a wasteful number, since it uses less digits than its factorization.

242540416311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43867078.

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 242540416311 in words is "two hundred forty-two billion, five hundred forty million, four hundred sixteen thousand, three hundred eleven".