414241122031 has 16 divisors (see below), whose sum is σ = 460869626880. Its totient is φ = 369121353120.

The previous prime is 414241122019. The next prime is 414241122073. The reversal of 414241122031 is 130221142414.

It is a cyclic number.

It is not a de Polignac number, because 414241122031 - 2²³ = 414232733423 is a prime.

It is a super-2 number, since 2×414241122031² (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 = 414241121987 and 414241122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414241122131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263806 + ... + 947668.

It is an arithmetic number, because the mean of its divisors is an integer number (28804351680).

Almost surely, 2^414241122031 is an apocalyptic number.

414241122031 is a deficient number, since it is larger than the sum of its proper divisors (46628504849).

414241122031 is a wasteful number, since it uses less digits than its factorization.

414241122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684966.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414241122031 its reverse (130221142414), we get a palindrome (544462264445).

The spelling of 414241122031 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred twenty-two thousand, thirty-one".