42277150080 has 768 divisors, whose sum is σ = 169054179840. Its totient is φ = 9634775040.

The previous prime is 42277150067. The next prime is 42277150087. The reversal of 42277150080 is 8005177224.

42277150080 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 71 + 500 + 80 = 666.

42277150080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42277150087) 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, 97637544 + ... + 97637976.

It is an arithmetic number, because the mean of its divisors is an integer number (220122630).

Almost surely, 2^42277150080 is an apocalyptic number.

42277150080 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 42277150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527089920).

42277150080 is an abundant number, since it is smaller than the sum of its proper divisors (126777029760).

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

42277150080 is a wasteful number, since it uses less digits than its factorization.

42277150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 42277150080 in words is "forty-two billion, two hundred seventy-seven million, one hundred fifty thousand, eighty".