42449300394424 has 128 divisors (see below), whose sum is σ = 100643358366720. Its totient is φ = 16303546828800.

The previous prime is 42449300394409. The next prime is 42449300394497.

42449300394424 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 31 ways as a sum of consecutive naturals, for example, 344446864 + ... + 344570080.

It is an arithmetic number, because the mean of its divisors is an integer number (786276237240).

Almost surely, 2^{42449300394424} is an apocalyptic number.

42449300394424 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 42449300394424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50321679183360).

42449300394424 is an abundant number, since it is smaller than the sum of its proper divisors (58194057972296).

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

42449300394424 is a wasteful number, since it uses less digits than its factorization.

42449300394424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131189 (or 131185 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 52.

The spelling of 42449300394424 in words is "forty-two trillion, four hundred forty-nine billion, three hundred million, three hundred ninety-four thousand, four hundred twenty-four".