20430142400 has 84 divisors (see below), whose sum is σ = 51123204840. Its totient is φ = 8033510400.

The previous prime is 20430142367. The next prime is 20430142417. The reversal of 20430142400 is 424103402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13811 + ... + 202610.

Almost surely, 2^20430142400 is an apocalyptic number.

20430142400 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 20430142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25561602420).

20430142400 is an abundant number, since it is smaller than the sum of its proper divisors (30693062440).

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

20430142400 is a wasteful number, since it uses less digits than its factorization.

20430142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216502 (or 216487 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20430142400 its reverse (424103402), we get a palindrome (20854245802).

The spelling of 20430142400 in words is "twenty billion, four hundred thirty million, one hundred forty-two thousand, four hundred".