242434134096 has 160 divisors (see below), whose sum is σ = 781921382400. Its totient is φ = 62881635840.

The previous prime is 242434134091. The next prime is 242434134113. The reversal of 242434134096 is 690431434242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242434134091) 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, 2611810 + ... + 2703038.

It is an arithmetic number, because the mean of its divisors is an integer number (4887008640).

Almost surely, 2^242434134096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242434134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390960691200).

242434134096 is an abundant number, since it is smaller than the sum of its proper divisors (539487248304).

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

242434134096 is a wasteful number, since it uses less digits than its factorization.

242434134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91977 (or 91971 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 242434134096 in words is "two hundred forty-two billion, four hundred thirty-four million, one hundred thirty-four thousand, ninety-six".