414213135150 has 72 divisors (see below), whose sum is σ = 1037523886632. Its totient is φ = 109362800000.

The previous prime is 414213135121. The next prime is 414213135173. The reversal of 414213135150 is 51531312414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1394800 + ... + 1665500.

It is an arithmetic number, because the mean of its divisors is an integer number (14410053981).

Almost surely, 2^414213135150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414213135150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518761943316).

414213135150 is an abundant number, since it is smaller than the sum of its proper divisors (623310751482).

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

414213135150 is a wasteful number, since it uses less digits than its factorization.

414213135150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270918 (or 270812 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 414213135150 its reverse (51531312414), we get a palindrome (465744447564).

The spelling of 414213135150 in words is "four hundred fourteen billion, two hundred thirteen million, one hundred thirty-five thousand, one hundred fifty".