4542823824 has 240 divisors, whose sum is σ = 15130460160. Its totient is φ = 1140998400.

The previous prime is 4542823721. The next prime is 4542823841. The reversal of 4542823824 is 4283282454.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3551217 + ... + 3552495.

It is an arithmetic number, because the mean of its divisors is an integer number (63043584).

Almost surely, 2^4542823824 is an apocalyptic number.

4542823824 is a gapful number since it is divisible by the number (44) 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 4542823824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565230080).

4542823824 is an abundant number, since it is smaller than the sum of its proper divisors (10587636336).

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

4542823824 is a wasteful number, since it uses less digits than its factorization.

4542823824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1333 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 4542823824 is about 67400.4734701471. The cubic root of 4542823824 is about 1656.1841786796.

The spelling of 4542823824 in words is "four billion, five hundred forty-two million, eight hundred twenty-three thousand, eight hundred twenty-four".