42458429440 has 288 divisors, whose sum is σ = 121764202560. Its totient is φ = 14157545472.

The previous prime is 42458429413. The next prime is 42458429443. The reversal of 42458429440 is 4492485424.

It is a super-2 number, since 2×42458429440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42458429443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18563977 + ... + 18566263.

It is an arithmetic number, because the mean of its divisors is an integer number (422792370).

Almost surely, 2^42458429440 is an apocalyptic number.

42458429440 is a gapful number since it is divisible by the number (40) 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 42458429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60882101280).

42458429440 is an abundant number, since it is smaller than the sum of its proper divisors (79305773120).

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

42458429440 is a wasteful number, since it uses less digits than its factorization.

42458429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 42458429440 in words is "forty-two billion, four hundred fifty-eight million, four hundred twenty-nine thousand, four hundred forty".