20302412400 has 240 divisors, whose sum is σ = 72967115520. Its totient is φ = 5361120000.

The previous prime is 20302412381. The next prime is 20302412443. The reversal of 20302412400 is 421420302.

20302412400 is a `hidden beast` number, since 20 + 3 + 0 + 241 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1103275 + ... + 1121525.

It is an arithmetic number, because the mean of its divisors is an integer number (304029648).

Almost surely, 2^20302412400 is an apocalyptic number.

20302412400 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 20302412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483557760).

20302412400 is an abundant number, since it is smaller than the sum of its proper divisors (52664703120).

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

20302412400 is a wasteful number, since it uses less digits than its factorization.

20302412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381 (or 18364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20302412400 its reverse (421420302), we get a palindrome (20723832702).

The spelling of 20302412400 in words is "twenty billion, three hundred two million, four hundred twelve thousand, four hundred".