4197422880 has 576 divisors, whose sum is σ = 17237525760. Its totient is φ = 909877248.

The previous prime is 4197422869. The next prime is 4197422891. The reversal of 4197422880 is 882247914.

4197422880 is a `hidden beast` number, since 419 + 7 + 4 + 228 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4197422869) and next prime (4197422891).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24262474 + ... + 24262646.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 2^4197422880 is an apocalyptic number.

4197422880 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 4197422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618762880).

4197422880 is an abundant number, since it is smaller than the sum of its proper divisors (13040102880).

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

4197422880 is a wasteful number, since it uses less digits than its factorization.

4197422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4197422880 is about 64787.5210206410. The cubic root of 4197422880 is about 1613.0985785665.

The spelling of 4197422880 in words is "four billion, one hundred ninety-seven million, four hundred twenty-two thousand, eight hundred eighty".