42258313440 has 1152 divisors, whose sum is σ = 184343040000. Its totient is φ = 9034841088.

The previous prime is 42258313403. The next prime is 42258313477. The reversal of 42258313440 is 4431385224.

42258313440 is a `hidden beast` number, since 4 + 2 + 2 + 583 + 1 + 34 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42258313403) and next prime (42258313477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42258313395 and 42258313404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534915321 + ... + 534915399.

It is an arithmetic number, because the mean of its divisors is an integer number (160020000).

Almost surely, 2^42258313440 is an apocalyptic number.

42258313440 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 42258313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520000).

42258313440 is an abundant number, since it is smaller than the sum of its proper divisors (142084726560).

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

42258313440 is a wasteful number, since it uses less digits than its factorization.

42258313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42258313440 its reverse (4431385224), we get a palindrome (46689698664).

The spelling of 42258313440 in words is "forty-two billion, two hundred fifty-eight million, three hundred thirteen thousand, four hundred forty".