202424430230440 has 512 divisors, whose sum is σ = 542953295216640. Its totient is φ = 67088015769600.

The previous prime is 202424430230417. The next prime is 202424430230447. The reversal of 202424430230440 is 44032034424202.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 202424430230396 and 202424430230405.

It is not an unprimeable number, because it can be changed into a prime (202424430230447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18859999314 + ... + 18860010046.

It is an arithmetic number, because the mean of its divisors is an integer number (1060455654720).

Almost surely, 2^{202424430230440} is an apocalyptic number.

202424430230440 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 202424430230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271476647608320).

202424430230440 is an abundant number, since it is smaller than the sum of its proper divisors (340528864986200).

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

202424430230440 is a wasteful number, since it uses less digits than its factorization.

202424430230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 202424430230440 its reverse (44032034424202), we get a palindrome (246456464654642).

The spelling of 202424430230440 in words is "two hundred two trillion, four hundred twenty-four billion, four hundred thirty million, two hundred thirty thousand, four hundred forty".