20102430400 has 84 divisors (see below), whose sum is σ = 53269562752. Its totient is φ = 7422428160.

The previous prime is 20102430389. The next prime is 20102430437. The reversal of 20102430400 is 403420102.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 462432 + ... + 504031.

Almost surely, 2^20102430400 is an apocalyptic number.

20102430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102430400 is an abundant number, since it is smaller than the sum of its proper divisors (33167132352).

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

20102430400 is a wasteful number, since it uses less digits than its factorization.

20102430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966498 (or 966483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20102430400 its reverse (403420102), we get a palindrome (20505850502).

The spelling of 20102430400 in words is "twenty billion, one hundred two million, four hundred thirty thousand, four hundred".