20414300400 has 600 divisors, whose sum is σ = 83571619824. Its totient is φ = 4727808000.

The previous prime is 20414300393. The next prime is 20414300407. The reversal of 20414300400 is 400341402.

It is an interprime number because it is at equal distance from previous prime (20414300393) and next prime (20414300407).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414300407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7158975 + ... + 7161825.

Almost surely, 2^20414300400 is an apocalyptic number.

20414300400 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 20414300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41785809912).

20414300400 is an abundant number, since it is smaller than the sum of its proper divisors (63157319424).

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

20414300400 is a wasteful number, since it uses less digits than its factorization.

20414300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2891 counting only the distinct ones).

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

Adding to 20414300400 its reverse (400341402), we get a palindrome (20814641802).

The spelling of 20414300400 in words is "twenty billion, four hundred fourteen million, three hundred thousand, four hundred".