20100414041120 has 96 divisors (see below), whose sum is σ = 57127492598400. Its totient is φ = 6528856283136.

The previous prime is 20100414041117. The next prime is 20100414041143. The reversal of 20100414041120 is 2114041400102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20100414041092 and 20100414041101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472262885 + ... + 472305444.

It is an arithmetic number, because the mean of its divisors is an integer number (595078047900).

Almost surely, 2^{20100414041120} is an apocalyptic number.

20100414041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100414041120 is an abundant number, since it is smaller than the sum of its proper divisors (37027078557280).

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

20100414041120 is a wasteful number, since it uses less digits than its factorization.

20100414041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944568370 (or 944568362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20100414041120 its reverse (2114041400102), we get a palindrome (22214455441222).

The spelling of 20100414041120 in words is "twenty trillion, one hundred billion, four hundred fourteen million, forty-one thousand, one hundred twenty".