42509150712 has 384 divisors, whose sum is σ = 142316928000. Its totient is φ = 11433768192.

The previous prime is 42509150693. The next prime is 42509150713. The reversal of 42509150712 is 21705190524.

42509150712 is a `hidden beast` number, since 4 + 2 + 50 + 91 + 507 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509150713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38055978 + ... + 38057094.

It is an arithmetic number, because the mean of its divisors is an integer number (370617000).

Almost surely, 2^42509150712 is an apocalyptic number.

42509150712 is a gapful number since it is divisible by the number (42) 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 42509150712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71158464000).

42509150712 is an abundant number, since it is smaller than the sum of its proper divisors (99807777288).

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

42509150712 is a wasteful number, since it uses less digits than its factorization.

42509150712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 42509150712 in words is "forty-two billion, five hundred nine million, one hundred fifty thousand, seven hundred twelve".