2140414311100 has 72 divisors (see below), whose sum is σ = 5123983325328. Its totient is φ = 771031027200.

The previous prime is 2140414311083. The next prime is 2140414311121. The reversal of 2140414311100 is 11134140412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20025634 + ... + 20132233.

It is an arithmetic number, because the mean of its divisors is an integer number (71166435074).

Almost surely, 2^{2140414311100} is an apocalyptic number.

2140414311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140414311100 is an abundant number, since it is smaller than the sum of its proper divisors (2983569014228).

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

2140414311100 is a wasteful number, since it uses less digits than its factorization.

2140414311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40157935 (or 40157928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2140414311100 its reverse (11134140412), we get a palindrome (2151548451512).

The spelling of 2140414311100 in words is "two trillion, one hundred forty billion, four hundred fourteen million, three hundred eleven thousand, one hundred".