214130401000 has 32 divisors (see below), whose sum is σ = 501065140680. Its totient is φ = 85652160000.

The previous prime is 214130400977. The next prime is 214130401049. The reversal of 214130401000 is 104031412.

It can be written as a sum of positive squares in 4 ways, for example, as 11941681284 + 202188719716 = 109278^2 + 449654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107064201 + ... + 107066200.

Almost surely, 2^214130401000 is an apocalyptic number.

214130401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214130401000 is an abundant number, since it is smaller than the sum of its proper divisors (286934739680).

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

214130401000 is a wasteful number, since it uses less digits than its factorization.

214130401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214130422 (or 214130408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 214130401000 its reverse (104031412), we get a palindrome (214234432412).

The spelling of 214130401000 in words is "two hundred fourteen billion, one hundred thirty million, four hundred one thousand".