20100040110400 has 84 divisors (see below), whose sum is σ = 49460541314940. Its totient is φ = 8039710412800.

The previous prime is 20100040110383. The next prime is 20100040110439. The reversal of 20100040110400 is 401104000102.

It can be written as a sum of positive squares in 6 ways, for example, as 259928668224 + 19840111442176 = 509832^2 + 4454224^2 .

It is a super-2 number, since 2×20100040110400² (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 11 ways as a sum of consecutive naturals, for example, 44480796 + ... + 44930404.

It is an arithmetic number, because the mean of its divisors is an integer number (588815968035).

Almost surely, 2^{20100040110400} is an apocalyptic number.

20100040110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100040110400 is an abundant number, since it is smaller than the sum of its proper divisors (29360501204540).

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

20100040110400 is a wasteful number, since it uses less digits than its factorization.

20100040110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477572 (or 477557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20100040110400 its reverse (401104000102), we get a palindrome (20501144110502).

The spelling of 20100040110400 in words is "twenty trillion, one hundred billion, forty million, one hundred ten thousand, four hundred".