42435411453424 has 80 divisors (see below), whose sum is σ = 90662434420320. Its totient is φ = 19080545402880.

The previous prime is 42435411453419. The next prime is 42435411453437.

42435411453424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34026552 + ... + 35251624.

It is an arithmetic number, because the mean of its divisors is an integer number (1133280430254).

Almost surely, 2^{42435411453424} is an apocalyptic number.

42435411453424 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 42435411453424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45331217210160).

42435411453424 is an abundant number, since it is smaller than the sum of its proper divisors (48227022966896).

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

42435411453424 is a wasteful number, since it uses less digits than its factorization.

42435411453424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227218 (or 1227212 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4243541 and 1453424, that added together give a palindrome (5696965).

The spelling of 42435411453424 in words is "forty-two trillion, four hundred thirty-five billion, four hundred eleven million, four hundred fifty-three thousand, four hundred twenty-four".