242431504000 has 256 divisors, whose sum is σ = 690580800000. Its totient is φ = 82910822400.

The previous prime is 242431503991. The next prime is 242431504061. The reversal of 242431504000 is 405134242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48493501 + ... + 48498499.

It is an arithmetic number, because the mean of its divisors is an integer number (2697581250).

Almost surely, 2^242431504000 is an apocalyptic number.

242431504000 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 242431504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400000).

242431504000 is an abundant number, since it is smaller than the sum of its proper divisors (448149296000).

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

242431504000 is an equidigital number, since it uses as much as digits as its factorization.

242431504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242431504000 its reverse (405134242), we get a palindrome (242836638242).

The spelling of 242431504000 in words is "two hundred forty-two billion, four hundred thirty-one million, five hundred four thousand".