20400114044310 has 384 divisors, whose sum is σ = 67884544779264. Its totient is φ = 3807151994880.

The previous prime is 20400114044237. The next prime is 20400114044399. The reversal of 20400114044310 is 1344041100402.

It is a super-2 number, since 2×20400114044310² (a number of 27 digits) contains 22 as substring.

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, 13738272 + ... + 15150588.

It is an arithmetic number, because the mean of its divisors is an integer number (176782668696).

Almost surely, 2^{20400114044310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400114044310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942272389632).

20400114044310 is an abundant number, since it is smaller than the sum of its proper divisors (47484430734954).

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

20400114044310 is a wasteful number, since it uses less digits than its factorization.

20400114044310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412408 (or 1412395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20400114044310 its reverse (1344041100402), we get a palindrome (21744155144712).

The spelling of 20400114044310 in words is "twenty trillion, four hundred billion, one hundred fourteen million, forty-four thousand, three hundred ten".