42237908160 has 224 divisors, whose sum is σ = 153943994880. Its totient is φ = 9611501568.

The previous prime is 42237908137. The next prime is 42237908189. The reversal of 42237908160 is 6180973224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511596 + ... + 1539284.

Almost surely, 2^42237908160 is an apocalyptic number.

42237908160 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 42237908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76971997440).

42237908160 is an abundant number, since it is smaller than the sum of its proper divisors (111706086720).

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

42237908160 is a wasteful number, since it uses less digits than its factorization.

42237908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943 (or 27933 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 42237908160 in words is "forty-two billion, two hundred thirty-seven million, nine hundred eight thousand, one hundred sixty".