2414402022431 has 16 divisors (see below), whose sum is σ = 2780484840000. Its totient is φ = 2053637760768.

The previous prime is 2414402022421. The next prime is 2414402022491. The reversal of 2414402022431 is 1342202044142.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2414402022431 is a prime.

It is a super-2 number, since 2×2414402022431² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414402022394 and 2414402022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414402022421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9260 + ... + 2197473.

It is an arithmetic number, because the mean of its divisors is an integer number (173780302500).

Almost surely, 2^{2414402022431} is an apocalyptic number.

2414402022431 is a deficient number, since it is larger than the sum of its proper divisors (366082817569).

2414402022431 is a wasteful number, since it uses less digits than its factorization.

2414402022431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207938.

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

Adding to 2414402022431 its reverse (1342202044142), we get a palindrome (3756604066573).

The spelling of 2414402022431 in words is "two trillion, four hundred fourteen billion, four hundred two million, twenty-two thousand, four hundred thirty-one".