20400114524500 has 24 divisors (see below), whose sum is σ = 44553850122600. Its totient is φ = 8160045809600.

The previous prime is 20400114524467. The next prime is 20400114524509. The reversal of 20400114524500 is 542541100402.

It can be written as a sum of positive squares in 4 ways, for example, as 66183736644 + 20333930787856 = 257262^2 + 4509316^2 .

It is a super-2 number, since 2×20400114524500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400114524509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20400114025 + ... + 20400115024.

It is an arithmetic number, because the mean of its divisors is an integer number (1856410421775).

Almost surely, 2^{20400114524500} is an apocalyptic number.

20400114524500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400114524500 is an abundant number, since it is smaller than the sum of its proper divisors (24153735598100).

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

20400114524500 is a wasteful number, since it uses less digits than its factorization.

20400114524500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40800229068 (or 40800229056 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 20400114524500 its reverse (542541100402), we get a palindrome (20942655624902).

The spelling of 20400114524500 in words is "twenty trillion, four hundred billion, one hundred fourteen million, five hundred twenty-four thousand, five hundred".