4217028480 has 320 divisors, whose sum is σ = 17212646880. Its totient is φ = 963809280.

The previous prime is 4217028479. The next prime is 4217028499. The reversal of 4217028480 is 848207124.

4217028480 is a `hidden beast` number, since 4 + 2 + 170 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4217028480² = 35566658402262220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357070 + ... + 368690.

Almost surely, 2^4217028480 is an apocalyptic number.

4217028480 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 4217028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606323440).

4217028480 is an abundant number, since it is smaller than the sum of its proper divisors (12995618400).

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

4217028480 is a wasteful number, since it uses less digits than its factorization.

4217028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4217028480 is about 64938.6516644748. The cubic root of 4217028480 is about 1615.6062008121.

The spelling of 4217028480 in words is "four billion, two hundred seventeen million, twenty-eight thousand, four hundred eighty".