4214782260 has 216 divisors, whose sum is σ = 13918577400. Its totient is φ = 1031906304.

The previous prime is 4214782241. The next prime is 4214782261. The reversal of 4214782260 is 622874124.

4214782260 is a `hidden beast` number, since 421 + 4 + 7 + 8 + 226 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1526152356 + 2688629904 = 39066^2 + 51852^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214782261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10616382 + ... + 10616778.

Almost surely, 2^4214782260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214782260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959288700).

4214782260 is an abundant number, since it is smaller than the sum of its proper divisors (9703795140).

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

4214782260 is a wasteful number, since it uses less digits than its factorization.

4214782260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4214782260 is about 64921.3544221006. The cubic root of 4214782260 is about 1615.3192964588.

The spelling of 4214782260 in words is "four billion, two hundred fourteen million, seven hundred eighty-two thousand, two hundred sixty".