20414101044040 has 128 divisors (see below), whose sum is σ = 51872975942400. Its totient is φ = 7162106936320.

The previous prime is 20414101043969. The next prime is 20414101044131. The reversal of 20414101044040 is 4044010141402.

20414101044040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 20414101043996 and 20414101044014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16936869 + ... + 18102091.

It is an arithmetic number, because the mean of its divisors is an integer number (405257624550).

Almost surely, 2^{20414101044040} is an apocalyptic number.

20414101044040 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 20414101044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936487971200).

20414101044040 is an abundant number, since it is smaller than the sum of its proper divisors (31458874898360).

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

20414101044040 is a wasteful number, since it uses less digits than its factorization.

20414101044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166647 (or 1166643 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 20414101044040 its reverse (4044010141402), we get a palindrome (24458111185442).

The spelling of 20414101044040 in words is "twenty trillion, four hundred fourteen billion, one hundred one million, forty-four thousand, forty".