4024873440 has 288 divisors, whose sum is σ = 15775119360. Its totient is φ = 915397632.

The previous prime is 4024873429. The next prime is 4024873507. The reversal of 4024873440 is 443784204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4024873395 and 4024873404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2287281 + ... + 2289039.

It is an arithmetic number, because the mean of its divisors is an integer number (54774720).

Almost surely, 2^4024873440 is an apocalyptic number.

4024873440 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 4024873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887559680).

4024873440 is an abundant number, since it is smaller than the sum of its proper divisors (11750245920).

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

4024873440 is a wasteful number, since it uses less digits than its factorization.

4024873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4024873440 is about 63441.8902618767. The cubic root of 4024873440 is about 1590.6845989868.

The spelling of 4024873440 in words is "four billion, twenty-four million, eight hundred seventy-three thousand, four hundred forty".