4298821632 has 312 divisors, whose sum is σ = 14740654656. Its totient is φ = 1226244096.

The previous prime is 4298821619. The next prime is 4298821633. The reversal of 4298821632 is 2361288924.

4298821632 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 8 + 2 + 1 + 632 = 666.

It is a super-2 number, since 2×4298821632² = 36959734847502286848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298821633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6966988 + ... + 6967604.

It is an arithmetic number, because the mean of its divisors is an integer number (47245688).

Almost surely, 2^4298821632 is an apocalyptic number.

4298821632 is a gapful number since it is divisible by the number (42) 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 4298821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370327328).

4298821632 is an abundant number, since it is smaller than the sum of its proper divisors (10441833024).

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

4298821632 is an frugal number, since it uses more digits than its factorization.

4298821632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 629 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4298821632 is about 65565.3996556110. The cubic root of 4298821632 is about 1625.9847767532.

It can be divided in two parts, 42988 and 21632, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 4298821632 in words is "four billion, two hundred ninety-eight million, eight hundred twenty-one thousand, six hundred thirty-two".