214220101040 has 320 divisors, whose sum is σ = 594047692800. Its totient is φ = 70975180800.

The previous prime is 214220101027. The next prime is 214220101061. The reversal of 214220101040 is 40101022412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89668166 + ... + 89670554.

It is an arithmetic number, because the mean of its divisors is an integer number (1856399040).

Almost surely, 2^214220101040 is an apocalyptic number.

214220101040 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 214220101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297023846400).

214220101040 is an abundant number, since it is smaller than the sum of its proper divisors (379827591760).

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

214220101040 is a wasteful number, since it uses less digits than its factorization.

214220101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 214220101040 its reverse (40101022412), we get a palindrome (254321123452).

The spelling of 214220101040 in words is "two hundred fourteen billion, two hundred twenty million, one hundred one thousand, forty".