414102010031 has 8 divisors (see below), whose sum is σ = 415080963984. Its totient is φ = 413123256000.

The previous prime is 414102009947. The next prime is 414102010043. The reversal of 414102010031 is 130010201414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414102010031 - 2¹⁴ = 414101993647 is a prime.

It is a super-2 number, since 2×414102010031² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414102009991 and 414102010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102010081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4607435 + ... + 4696451.

It is an arithmetic number, because the mean of its divisors is an integer number (51885120498).

Almost surely, 2^414102010031 is an apocalyptic number.

414102010031 is a deficient number, since it is larger than the sum of its proper divisors (978953953).

414102010031 is a wasteful number, since it uses less digits than its factorization.

414102010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99961.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 414102010031 its reverse (130010201414), we get a palindrome (544112211445).

The spelling of 414102010031 in words is "four hundred fourteen billion, one hundred two million, ten thousand, thirty-one".