42175345456 has 160 divisors (see below), whose sum is σ = 91757698560. Its totient is φ = 18687449088.

The previous prime is 42175345409. The next prime is 42175345463. The reversal of 42175345456 is 65454357124.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 31 ways as a sum of consecutive naturals, for example, 92287180 + ... + 92287636.

It is an arithmetic number, because the mean of its divisors is an integer number (573485616).

Almost surely, 2^42175345456 is an apocalyptic number.

42175345456 is a gapful number since it is divisible by the number (46) 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 42175345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45878849280).

42175345456 is an abundant number, since it is smaller than the sum of its proper divisors (49582353104).

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

42175345456 is a wasteful number, since it uses less digits than its factorization.

42175345456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 46.

The spelling of 42175345456 in words is "forty-two billion, one hundred seventy-five million, three hundred forty-five thousand, four hundred fifty-six".