242414004031232 has 72 divisors (see below), whose sum is σ = 527972738312880. Its totient is φ = 110166793748480.

The previous prime is 242414004031231. The next prime is 242414004031273. The reversal of 242414004031232 is 232130400414242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414004031231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6157994 + ... + 22863702.

It is an arithmetic number, because the mean of its divisors is an integer number (7332954698790).

Almost surely, 2^{242414004031232} is an apocalyptic number.

242414004031232 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 242414004031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263986369156440).

242414004031232 is an abundant number, since it is smaller than the sum of its proper divisors (285558734281648).

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

242414004031232 is a wasteful number, since it uses less digits than its factorization.

242414004031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16710889 (or 16710875 counting only the distinct ones).

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

Adding to 242414004031232 its reverse (232130400414242), we get a palindrome (474544404445474).

The spelling of 242414004031232 in words is "two hundred forty-two trillion, four hundred fourteen billion, four million, thirty-one thousand, two hundred thirty-two".