42250844160 has 960 divisors, whose sum is σ = 182659276800. Its totient is φ = 9125167104.

The previous prime is 42250844137. The next prime is 42250844171. The reversal of 42250844160 is 6144805224.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×42250844160² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 110315329 + ... + 110315711.

It is an arithmetic number, because the mean of its divisors is an integer number (190270080).

Almost surely, 2^42250844160 is an apocalyptic number.

42250844160 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 42250844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91329638400).

42250844160 is an abundant number, since it is smaller than the sum of its proper divisors (140408432640).

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

42250844160 is a wasteful number, since it uses less digits than its factorization.

42250844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42250844160 in words is "forty-two billion, two hundred fifty million, eight hundred forty-four thousand, one hundred sixty".