20400403311200 has 288 divisors, whose sum is σ = 54898767191520. Its totient is φ = 7340748800000.

The previous prime is 20400403311193. The next prime is 20400403311217. The reversal of 20400403311200 is 211330400402.

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

It is a congruent number.

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, 1892249810 + ... + 1892260590.

It is an arithmetic number, because the mean of its divisors is an integer number (190620719415).

Almost surely, 2^{20400403311200} is an apocalyptic number.

20400403311200 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 20400403311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449383595760).

20400403311200 is an abundant number, since it is smaller than the sum of its proper divisors (34498363880320).

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

20400403311200 is a wasteful number, since it uses less digits than its factorization.

20400403311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20400403311200 its reverse (211330400402), we get a palindrome (20611733711602).

The spelling of 20400403311200 in words is "twenty trillion, four hundred billion, four hundred three million, three hundred eleven thousand, two hundred".