42413222231424 has 192 divisors, whose sum is σ = 136742262068880. Its totient is φ = 12505126809600.

The previous prime is 42413222231329. The next prime is 42413222231447.

42413222231424 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 3 + 2 + 2 + 223 + 1 + 424 = 666.

42413222231424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44760907 + ... + 45698634.

Almost surely, 2^{42413222231424} is an apocalyptic number.

42413222231424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42413222231424 is an abundant number, since it is smaller than the sum of its proper divisors (94329039837456).

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

42413222231424 is a wasteful number, since it uses less digits than its factorization.

42413222231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90459609 (or 90459594 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4241322 and 2231424, that added together give a palindrome (6472746).

The spelling of 42413222231424 in words is "forty-two trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred twenty-four".