42457167360 has 200 divisors, whose sum is σ = 152068900896. Its totient is φ = 11321856000.

The previous prime is 42457167343. The next prime is 42457167437. The reversal of 42457167360 is 6376175424.

42457167360 is a `hidden beast` number, since 4 + 2 + 4 + 571 + 6 + 73 + 6 + 0 = 666.

It is a super-2 number, since 2×42457167360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104985 + ... + 309735.

Almost surely, 2^42457167360 is an apocalyptic number.

42457167360 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 42457167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76034450448).

42457167360 is an abundant number, since it is smaller than the sum of its proper divisors (109611733536).

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

42457167360 is an equidigital number, since it uses as much as digits as its factorization.

42457167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204786 (or 204761 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42457167360 in words is "forty-two billion, four hundred fifty-seven million, one hundred sixty-seven thousand, three hundred sixty".