414242220431 has 48 divisors (see below), whose sum is σ = 463371723360. Its totient is φ = 369922775040.

The previous prime is 414242220347. The next prime is 414242220437. The reversal of 414242220431 is 134022242414.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-414242220431 is a prime.

It is a super-2 number, since 2×414242220431² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414242220394 and 414242220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414242220437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611878865 + ... + 611879541.

It is an arithmetic number, because the mean of its divisors is an integer number (9653577570).

Almost surely, 2^414242220431 is an apocalyptic number.

414242220431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414242220431 is a deficient number, since it is larger than the sum of its proper divisors (49129502929).

414242220431 is a wasteful number, since it uses less digits than its factorization.

414242220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 414242220431 its reverse (134022242414), we get a palindrome (548264462845).

The spelling of 414242220431 in words is "four hundred fourteen billion, two hundred forty-two million, two hundred twenty thousand, four hundred thirty-one".