42607340160 has 256 divisors, whose sum is σ = 169323264000. Its totient is φ = 8853442560.

The previous prime is 42607340143. The next prime is 42607340197. The reversal of 42607340160 is 6104370624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3741 + ... + 291939.

It is an arithmetic number, because the mean of its divisors is an integer number (661419000).

Almost surely, 2^42607340160 is an apocalyptic number.

42607340160 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 42607340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661632000).

42607340160 is an abundant number, since it is smaller than the sum of its proper divisors (126715923840).

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

42607340160 is a wasteful number, since it uses less digits than its factorization.

42607340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288239 (or 288227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 42607340160 in words is "forty-two billion, six hundred seven million, three hundred forty thousand, one hundred sixty".