42167792160 has 768 divisors, whose sum is σ = 167528632320. Its totient is φ = 9833840640.

The previous prime is 42167792153. The next prime is 42167792167. The reversal of 42167792160 is 6129776124.

42167792160 is a `hidden beast` number, since 421 + 6 + 7 + 7 + 9 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42167792153) and next prime (42167792167).

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

It is not an unprimeable number, because it can be changed into a prime (42167792167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92270652 + ... + 92271108.

It is an arithmetic number, because the mean of its divisors is an integer number (218136240).

Almost surely, 2^42167792160 is an apocalyptic number.

42167792160 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 42167792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83764316160).

42167792160 is an abundant number, since it is smaller than the sum of its proper divisors (125360840160).

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

42167792160 is a wasteful number, since it uses less digits than its factorization.

42167792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 42167792160 in words is "forty-two billion, one hundred sixty-seven million, seven hundred ninety-two thousand, one hundred sixty".