4282024992 has 144 divisors (see below), whose sum is σ = 13023484992. Its totient is φ = 1206766080.

The previous prime is 4282024961. The next prime is 4282024993. The reversal of 4282024992 is 2994202824.

It is a super-2 number, since 2×4282024992² = 36671476064225200128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282024993) 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, 4193442 + ... + 4194462.

It is an arithmetic number, because the mean of its divisors is an integer number (90440868).

Almost surely, 2^4282024992 is an apocalyptic number.

4282024992 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 4282024992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511742496).

4282024992 is an abundant number, since it is smaller than the sum of its proper divisors (8741460000).

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

4282024992 is a wasteful number, since it uses less digits than its factorization.

4282024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4282024992 is about 65437.1835579741. The cubic root of 4282024992 is about 1623.8642941923.

The spelling of 4282024992 in words is "four billion, two hundred eighty-two million, twenty-four thousand, nine hundred ninety-two".