414342305010 has 48 divisors (see below), whose sum is σ = 1114437930840. Its totient is φ = 106681236480.

The previous prime is 414342305009. The next prime is 414342305053. The reversal of 414342305010 is 10503243414.

It is a happy number.

414342305010 is a `hidden beast` number, since 4 + 1 + 4 + 342 + 305 + 0 + 10 = 666.

414342305010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 267399649449 + 146942655561 = 517107^2 + 383331^2 .

It is a super-2 number, since 2×414342305010² (a number of 24 digits) contains 22 as substring.

It is a Curzon 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, 79373311 + ... + 79378530.

Almost surely, 2^414342305010 is an apocalyptic number.

414342305010 is an abundant number, since it is smaller than the sum of its proper divisors (700095625830).

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

414342305010 is a wasteful number, since it uses less digits than its factorization.

414342305010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158751883 (or 158751880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 414342305010 its reverse (10503243414), we get a palindrome (424845548424).

The spelling of 414342305010 in words is "four hundred fourteen billion, three hundred forty-two million, three hundred five thousand, ten".