242400431040 has 112 divisors (see below), whose sum is σ = 771840358272. Its totient is φ = 64453743616.

The previous prime is 242400431003. The next prime is 242400431047. The reversal of 242400431040 is 40134004242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242400431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242400431047) 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, 30714 + ... + 696953.

Almost surely, 2^242400431040 is an apocalyptic number.

242400431040 is a gapful number since it is divisible by the number (20) 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 242400431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385920179136).

242400431040 is an abundant number, since it is smaller than the sum of its proper divisors (529439927232).

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

242400431040 is a wasteful number, since it uses less digits than its factorization.

242400431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728034 (or 728024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242400431040 its reverse (40134004242), we get a palindrome (282534435282).

The spelling of 242400431040 in words is "two hundred forty-two billion, four hundred million, four hundred thirty-one thousand, forty".