20340214400 has 384 divisors, whose sum is σ = 61127784000. Its totient is φ = 6591283200.

The previous prime is 20340214399. The next prime is 20340214439. The reversal of 20340214400 is 441204302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11368706 + ... + 11370494.

Almost surely, 2^20340214400 is an apocalyptic number.

20340214400 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 20340214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563892000).

20340214400 is an abundant number, since it is smaller than the sum of its proper divisors (40787569600).

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

20340214400 is a wasteful number, since it uses less digits than its factorization.

20340214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20340214400 its reverse (441204302), we get a palindrome (20781418702).

The spelling of 20340214400 in words is "twenty billion, three hundred forty million, two hundred fourteen thousand, four hundred".