240431122411020 has 288 divisors, whose sum is σ = 792526129274880. Its totient is φ = 58775967843840.

The previous prime is 240431122411009. The next prime is 240431122411057. The reversal of 240431122411020 is 20114221134042.

240431122411020 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 311 + 2 + 241 + 102 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287307482 + ... + 1287494238.

It is an arithmetic number, because the mean of its divisors is an integer number (2751826837760).

Almost surely, 2^{240431122411020} is an apocalyptic number.

240431122411020 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 240431122411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396263064637440).

240431122411020 is an abundant number, since it is smaller than the sum of its proper divisors (552095006863860).

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

240431122411020 is a wasteful number, since it uses less digits than its factorization.

240431122411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198965 (or 198960 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 240431122411020 its reverse (20114221134042), we get a palindrome (260545343545062).

The spelling of 240431122411020 in words is "two hundred forty trillion, four hundred thirty-one billion, one hundred twenty-two million, four hundred eleven thousand, twenty".