4217185440 has 576 divisors, whose sum is σ = 16467010560. Its totient is φ = 981227520.

The previous prime is 4217185433. The next prime is 4217185457. The reversal of 4217185440 is 445817124.

It is a happy number.

4217185440 is a `hidden beast` number, since 42 + 1 + 71 + 8 + 544 + 0 = 666.

4217185440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4217185395 and 4217185404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98074059 + ... + 98074101.

It is an arithmetic number, because the mean of its divisors is an integer number (28588560).

Almost surely, 2^4217185440 is an apocalyptic number.

4217185440 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 4217185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233505280).

4217185440 is an abundant number, since it is smaller than the sum of its proper divisors (12249825120).

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

4217185440 is a wasteful number, since it uses less digits than its factorization.

4217185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4217185440 is about 64939.8601784759. The cubic root of 4217185440 is about 1615.6262451320.

The spelling of 4217185440 in words is "four billion, two hundred seventeen million, one hundred eighty-five thousand, four hundred forty".