422628716160 has 1152 divisors, whose sum is σ = 1821949459200. Its totient is φ = 89729482752.

The previous prime is 422628716143. The next prime is 422628716173. The reversal of 422628716160 is 61617826224.

422628716160 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 28 + 7 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 284214937 + ... + 284216423.

It is an arithmetic number, because the mean of its divisors is an integer number (1581553350).

Almost surely, 2^422628716160 is an apocalyptic number.

422628716160 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 422628716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910974729600).

422628716160 is an abundant number, since it is smaller than the sum of its proper divisors (1399320743040).

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

422628716160 is a wasteful number, since it uses less digits than its factorization.

422628716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 422628716160 in words is "four hundred twenty-two billion, six hundred twenty-eight million, seven hundred sixteen thousand, one hundred sixty".