42270688800 has 162 divisors, whose sum is σ = 149118559317. Its totient is φ = 11267531520.

The previous prime is 42270688699. The next prime is 42270688841. The reversal of 42270688800 is 888607224.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42270688800 is a `hidden beast` number, since 422 + 70 + 6 + 88 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41425275024 + 845413776 = 203532^2 + 29076^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145380.

It is a super-2 number, since 2×42270688800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17444389 + ... + 17446811.

Almost surely, 2^42270688800 is an apocalyptic number.

42270688800 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 42270688800

42270688800 is an abundant number, since it is smaller than the sum of its proper divisors (106847870517).

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

42270688800 is an equidigital number, since it uses as much as digits as its factorization.

42270688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42270688800 in words is "forty-two billion, two hundred seventy million, six hundred eighty-eight thousand, eight hundred".