42414333341424 has 160 divisors (see below), whose sum is σ = 122770600440576. Its totient is φ = 12504566108160.

The previous prime is 42414333341399. The next prime is 42414333341491.

42414333341424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42414333341424³ (a number of 42 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 306001224 + ... + 306139800.

Almost surely, 2^{42414333341424} is an apocalyptic number.

42414333341424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414333341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61385300220288).

42414333341424 is an abundant number, since it is smaller than the sum of its proper divisors (80356267099152).

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

42414333341424 is a wasteful number, since it uses less digits than its factorization.

42414333341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154303 (or 154297 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4241433 and 3341424, that added together give a palindrome (7582857).

The spelling of 42414333341424 in words is "forty-two trillion, four hundred fourteen billion, three hundred thirty-three million, three hundred forty-one thousand, four hundred twenty-four".