414132204311 has 24 divisors (see below), whose sum is σ = 494798527440. Its totient is φ = 345398256000.

The previous prime is 414132204307. The next prime is 414132204319. The reversal of 414132204311 is 113402231414.

It is not a de Polignac number, because 414132204311 - 2² = 414132204307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132204319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489461 + ... + 1033361.

It is an arithmetic number, because the mean of its divisors is an integer number (20616605310).

Almost surely, 2^414132204311 is an apocalyptic number.

414132204311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414132204311 is a deficient number, since it is larger than the sum of its proper divisors (80666323129).

414132204311 is a wasteful number, since it uses less digits than its factorization.

414132204311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544335 (or 544328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414132204311 its reverse (113402231414), we get a palindrome (527534435725).

The spelling of 414132204311 in words is "four hundred fourteen billion, one hundred thirty-two million, two hundred four thousand, three hundred eleven".