242241431432 has 192 divisors, whose sum is σ = 631610179200. Its totient is φ = 84113326080.

The previous prime is 242241431417. The next prime is 242241431459. The reversal of 242241431432 is 234134142242.

It is a happy number.

It is a super-2 number, since 2×242241431432² (a number of 24 digits) contains 22 as substring.

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, 6716744 + ... + 6752712.

It is an arithmetic number, because the mean of its divisors is an integer number (3289636350).

Almost surely, 2^242241431432 is an apocalyptic number.

242241431432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242241431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315805089600).

242241431432 is an abundant number, since it is smaller than the sum of its proper divisors (389368747768).

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

242241431432 is a wasteful number, since it uses less digits than its factorization.

242241431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36064 (or 36031 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 242241431432 its reverse (234134142242), we get a palindrome (476375573674).

The spelling of 242241431432 in words is "two hundred forty-two billion, two hundred forty-one million, four hundred thirty-one thousand, four hundred thirty-two".