2114040000400 has 60 divisors (see below), whose sum is σ = 5079124454292. Its totient is φ = 845592133120.

The previous prime is 2114040000343. The next prime is 2114040000403. The reversal of 2114040000400 is 40000404112.

It can be written as a sum of positive squares in 6 ways, for example, as 194008535296 + 1920031465104 = 440464^2 + 1385652^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2114040000403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23121174 + ... + 23212426.

Almost surely, 2^{2114040000400} is an apocalyptic number.

2114040000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114040000400 is an abundant number, since it is smaller than the sum of its proper divisors (2965084453892).

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

2114040000400 is a wasteful number, since it uses less digits than its factorization.

2114040000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149188 (or 149177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2114040000400 its reverse (40000404112), we get a palindrome (2154040404512).

The spelling of 2114040000400 in words is "two trillion, one hundred fourteen billion, forty million, four hundred", and thus it is an aban number.