2114471975400 has 576 divisors, whose sum is σ = 7429024512000. Its totient is φ = 538364275200.

The previous prime is 2114471975389. The next prime is 2114471975419. The reversal of 2114471975400 is 45791744112.

2114471975400 is a `hidden beast` number, since 2 + 1 + 14 + 4 + 7 + 1 + 97 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1388359039 + ... + 1388360561.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612000).

Almost surely, 2^{2114471975400} is an apocalyptic number.

2114471975400 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 2114471975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714512256000).

2114471975400 is an abundant number, since it is smaller than the sum of its proper divisors (5314552536600).

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

2114471975400 is a wasteful number, since it uses less digits than its factorization.

2114471975400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2114471975400 in words is "two trillion, one hundred fourteen billion, four hundred seventy-one million, nine hundred seventy-five thousand, four hundred".