4002324480 has 896 divisors, whose sum is σ = 18118287360. Its totient is φ = 813957120.

The previous prime is 4002324421. The next prime is 4002324503. The reversal of 4002324480 is 844232004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85155817 + ... + 85155863.

Almost surely, 2^4002324480 is an apocalyptic number.

4002324480 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 4002324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059143680).

4002324480 is an abundant number, since it is smaller than the sum of its proper divisors (14115962880).

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

4002324480 is a wasteful number, since it uses less digits than its factorization.

4002324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4002324480 is about 63263.9271623253. The cubic root of 4002324480 is about 1587.7084825910.

Adding to 4002324480 its reverse (844232004), we get a palindrome (4846556484).

The spelling of 4002324480 in words is "four billion, two million, three hundred twenty-four thousand, four hundred eighty".