42309812160 has 2240 divisors, whose sum is σ = 210309073920. Its totient is φ = 7803371520.

The previous prime is 42309812141. The next prime is 42309812231. The reversal of 42309812160 is 6121890324.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 983949099 + ... + 983949141.

Almost surely, 2^42309812160 is an apocalyptic number.

42309812160 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 42309812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105154536960).

42309812160 is an abundant number, since it is smaller than the sum of its proper divisors (167999261760).

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

42309812160 is a wasteful number, since it uses less digits than its factorization.

42309812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 42309812160 in words is "forty-two billion, three hundred nine million, eight hundred twelve thousand, one hundred sixty".