20414402400 has 288 divisors, whose sum is σ = 80409853440. Its totient is φ = 4391608320.

The previous prime is 20414402381. The next prime is 20414402401. The reversal of 20414402400 is 420441402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414402401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249861 + ... + 321339.

It is an arithmetic number, because the mean of its divisors is an integer number (279200880).

Almost surely, 2^20414402400 is an apocalyptic number.

20414402400 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 20414402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40204926720).

20414402400 is an abundant number, since it is smaller than the sum of its proper divisors (59995451040).

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

20414402400 is a wasteful number, since it uses less digits than its factorization.

20414402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71526 (or 71513 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20414402400 its reverse (420441402), we get a palindrome (20834843802).

The spelling of 20414402400 in words is "twenty billion, four hundred fourteen million, four hundred two thousand, four hundred".