42414255241424 has 320 divisors, whose sum is σ = 97696327606272. Its totient is φ = 17624471961600.

The previous prime is 42414255241403. The next prime is 42414255241459.

42414255241424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3800214404 + ... + 3800225564.

Almost surely, 2^{42414255241424} is an apocalyptic number.

42414255241424 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 42414255241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48848163803136).

42414255241424 is an abundant number, since it is smaller than the sum of its proper divisors (55282072364848).

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

42414255241424 is a wasteful number, since it uses less digits than its factorization.

42414255241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11528 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 4241425 and 5241424, that added together give a palindrome (9482849).

The spelling of 42414255241424 in words is "forty-two trillion, four hundred fourteen billion, two hundred fifty-five million, two hundred forty-one thousand, four hundred twenty-four".