42894472320 has 512 divisors, whose sum is σ = 175010457600. Its totient is φ = 9726013440.

The previous prime is 42894472277. The next prime is 42894472391. The reversal of 42894472320 is 2327449824.

It is a happy number.

42894472320 is a `hidden beast` number, since 4 + 289 + 4 + 47 + 2 + 320 = 666.

42894472320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42894472320² (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 63 ways as a sum of consecutive naturals, for example, 15844407 + ... + 15847113.

It is an arithmetic number, because the mean of its divisors is an integer number (341817300).

Almost surely, 2^42894472320 is an apocalyptic number.

42894472320 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 42894472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87505228800).

42894472320 is an abundant number, since it is smaller than the sum of its proper divisors (132115985280).

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

42894472320 is a wasteful number, since it uses less digits than its factorization.

42894472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

It can be divided in two parts, 428944 and 72320, that added together give a square (501264 = 708²).

The spelling of 42894472320 in words is "forty-two billion, eight hundred ninety-four million, four hundred seventy-two thousand, three hundred twenty".