414102314002 has 32 divisors (see below), whose sum is σ = 692078587200. Its totient is φ = 184513025088.

The previous prime is 414102313981. The next prime is 414102314023. The reversal of 414102314002 is 200413201414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414102313981) and next prime (414102314023).

It is a super-2 number, since 2×414102314002² (a number of 24 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, 8168449 + ... + 8218987.

It is an arithmetic number, because the mean of its divisors is an integer number (21627455850).

Almost surely, 2^414102314002 is an apocalyptic number.

414102314002 is a deficient number, since it is larger than the sum of its proper divisors (277976273198).

414102314002 is a wasteful number, since it uses less digits than its factorization.

414102314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61450.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 414102314002 its reverse (200413201414), we get a palindrome (614515515416).

The spelling of 414102314002 in words is "four hundred fourteen billion, one hundred two million, three hundred fourteen thousand, two".