2114040400420 has 48 divisors (see below), whose sum is σ = 4846476645360. Its totient is φ = 769876033536.

The previous prime is 2114040400289. The next prime is 2114040400453. The reversal of 2114040400420 is 240040404112.

It can be written as a sum of positive squares in 8 ways, for example, as 11586800164 + 2102453600256 = 107642^2 + 1449984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2114040400391 and 2114040400400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55672285 + ... + 55710244.

It is an arithmetic number, because the mean of its divisors is an integer number (100968263445).

Almost surely, 2^{2114040400420} is an apocalyptic number.

2114040400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114040400420 is an abundant number, since it is smaller than the sum of its proper divisors (2732436244940).

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

2114040400420 is a wasteful number, since it uses less digits than its factorization.

2114040400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111382624 (or 111382622 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2114040400420 its reverse (240040404112), we get a palindrome (2354080804532).

The spelling of 2114040400420 in words is "two trillion, one hundred fourteen billion, forty million, four hundred thousand, four hundred twenty".