414102440304 has 120 divisors (see below), whose sum is σ = 1327966373760. Its totient is φ = 118002697344.

The previous prime is 414102440291. The next prime is 414102440329. The reversal of 414102440304 is 403044201414.

414102440304 is a `hidden beast` number, since 4 + 1 + 410 + 244 + 0 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×414102440304² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159942 + ... + 924005.

It is an arithmetic number, because the mean of its divisors is an integer number (11066386448).

Almost surely, 2^414102440304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414102440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663983186880).

414102440304 is an abundant number, since it is smaller than the sum of its proper divisors (913863933456).

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

414102440304 is a wasteful number, since it uses less digits than its factorization.

414102440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084347 (or 1084338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414102440304 its reverse (403044201414), we get a palindrome (817146641718).

The spelling of 414102440304 in words is "four hundred fourteen billion, one hundred two million, four hundred forty thousand, three hundred four".