424022215680 has 1056 divisors, whose sum is σ = 1809718310400. Its totient is φ = 89627295744.

The previous prime is 424022215663. The next prime is 424022215681. The reversal of 424022215680 is 86512220424.

424022215680 is a `hidden beast` number, since 4 + 2 + 402 + 22 + 156 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (424022215681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263530716 + ... + 263532324.

It is an arithmetic number, because the mean of its divisors is an integer number (1713748400).

Almost surely, 2^424022215680 is an apocalyptic number.

424022215680 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 424022215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904859155200).

424022215680 is an abundant number, since it is smaller than the sum of its proper divisors (1385696094720).

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

424022215680 is a wasteful number, since it uses less digits than its factorization.

424022215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 424022215680 in words is "four hundred twenty-four billion, twenty-two million, two hundred fifteen thousand, six hundred eighty".