42227028480 has 1280 divisors, whose sum is σ = 180564443136. Its totient is φ = 8174960640.

The previous prime is 42227028451. The next prime is 42227028497. The reversal of 42227028480 is 8482072224.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×42227028480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 594746845 + ... + 594746915.

Almost surely, 2^42227028480 is an apocalyptic number.

42227028480 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 42227028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90282221568).

42227028480 is an abundant number, since it is smaller than the sum of its proper divisors (138337414656).

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

42227028480 is a wasteful number, since it uses less digits than its factorization.

42227028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 42227028480 in words is "forty-two billion, two hundred twenty-seven million, twenty-eight thousand, four hundred eighty".