42167831160 has 512 divisors, whose sum is σ = 158854348800. Its totient is φ = 8718796800.

The previous prime is 42167831141. The next prime is 42167831243. The reversal of 42167831160 is 6113876124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176434321 + ... + 176434559.

It is an arithmetic number, because the mean of its divisors is an integer number (310262400).

Almost surely, 2^42167831160 is an apocalyptic number.

42167831160 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 42167831160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79427174400).

42167831160 is an abundant number, since it is smaller than the sum of its proper divisors (116686517640).

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

42167831160 is a wasteful number, since it uses less digits than its factorization.

42167831160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 42167831160 in words is "forty-two billion, one hundred sixty-seven million, eight hundred thirty-one thousand, one hundred sixty".