413401200114 has 96 divisors (see below), whose sum is σ = 984864393216. Its totient is φ = 115284949920.

The previous prime is 413401200109. The next prime is 413401200131. The reversal of 413401200114 is 411002104314.

It is a super-2 number, since 2×413401200114² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 18787659 + ... + 18809649.

It is an arithmetic number, because the mean of its divisors is an integer number (10259004096).

Almost surely, 2^413401200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413401200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492432196608).

413401200114 is an abundant number, since it is smaller than the sum of its proper divisors (571463193102).

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

413401200114 is a wasteful number, since it uses less digits than its factorization.

413401200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 413401200114 its reverse (411002104314), we get a palindrome (824403304428).

The spelling of 413401200114 in words is "four hundred thirteen billion, four hundred one million, two hundred thousand, one hundred fourteen".