20420400000 has 1536 divisors, whose sum is σ = 96383831040. Its totient is φ = 3686400000.

The previous prime is 20420399953. The next prime is 20420400023. The reversal of 20420400000 is 402402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1201199992 + ... + 1201200008.

It is an arithmetic number, because the mean of its divisors is an integer number (62749890).

Almost surely, 2^20420400000 is an apocalyptic number.

20420400000 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 20420400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48191915520).

20420400000 is an abundant number, since it is smaller than the sum of its proper divisors (75963431040).

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

20420400000 is a wasteful number, since it uses less digits than its factorization.

20420400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20420400000 its reverse (402402), we get a palindrome (20420802402).

The spelling of 20420400000 in words is "twenty billion, four hundred twenty million, four hundred thousand".