414000312010242 has 32 divisors (see below), whose sum is σ = 834051628492992. Its totient is φ = 136991620660224.

The previous prime is 414000312010223. The next prime is 414000312010267. The reversal of 414000312010242 is 242010213000414.

It is a super-2 number, since 2×414000312010242² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95724498 + ... + 99955890.

It is an arithmetic number, because the mean of its divisors is an integer number (26064113390406).

Almost surely, 2^{414000312010242} is an apocalyptic number.

414000312010242 is an abundant number, since it is smaller than the sum of its proper divisors (420051316482750).

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

414000312010242 is a wasteful number, since it uses less digits than its factorization.

414000312010242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350562.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414000312010242 its reverse (242010213000414), we get a palindrome (656010525010656).

The spelling of 414000312010242 in words is "four hundred fourteen trillion, three hundred twelve million, ten thousand, two hundred forty-two".