42814072224 has 864 divisors, whose sum is σ = 163954627200. Its totient is φ = 10499328000.

The previous prime is 42814072211. The next prime is 42814072241. The reversal of 42814072224 is 42227041824.

42814072224 is a `hidden beast` number, since 4 + 28 + 1 + 407 + 2 + 224 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1044245644 + ... + 1044245684.

It is an arithmetic number, because the mean of its divisors is an integer number (189762300).

Almost surely, 2^42814072224 is an apocalyptic number.

42814072224 is a gapful number since it is divisible by the number (44) 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 42814072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81977313600).

42814072224 is an abundant number, since it is smaller than the sum of its proper divisors (121140554976).

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

42814072224 is a wasteful number, since it uses less digits than its factorization.

42814072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 42814072224 in words is "forty-two billion, eight hundred fourteen million, seventy-two thousand, two hundred twenty-four".