214040413100 has 144 divisors (see below), whose sum is σ = 506677466400. Its totient is φ = 78173061120.

The previous prime is 214040413099. The next prime is 214040413117. The reversal of 214040413100 is 1314040412.

It is a super-2 number, since 2×214040413100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33773132 + ... + 33779468.

Almost surely, 2^214040413100 is an apocalyptic number.

214040413100 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 214040413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253338733200).

214040413100 is an abundant number, since it is smaller than the sum of its proper divisors (292637053300).

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

214040413100 is a wasteful number, since it uses less digits than its factorization.

214040413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214040413100 its reverse (1314040412), we get a palindrome (215354453512).

The spelling of 214040413100 in words is "two hundred fourteen billion, forty million, four hundred thirteen thousand, one hundred".