414001022240424 has 32 divisors (see below), whose sum is σ = 1037247680478240. Its totient is φ = 137700990763200.

The previous prime is 414001022240389. The next prime is 414001022240431. The reversal of 414001022240424 is 424042220100414.

It is a super-2 number, since 2×414001022240424² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414001022240391 and 414001022240400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18709362682 + ... + 18709384809.

It is an arithmetic number, because the mean of its divisors is an integer number (32413990014945).

Almost surely, 2^{414001022240424} is an apocalyptic number.

It is an amenable number.

414001022240424 is an abundant number, since it is smaller than the sum of its proper divisors (623246658237816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414001022240424 is a wasteful number, since it uses less digits than its factorization.

414001022240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37418747961 (or 37418747957 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 414001022240424 its reverse (424042220100414), we get a palindrome (838043242340838).

The spelling of 414001022240424 in words is "four hundred fourteen trillion, one billion, twenty-two million, two hundred forty thousand, four hundred twenty-four".