4381824000 has 176 divisors, whose sum is σ = 14576867136. Its totient is φ = 1168384000.

The previous prime is 4381823983. The next prime is 4381824019. The reversal of 4381824000 is 4281834.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378295 + ... + 389705.

Almost surely, 2^4381824000 is an apocalyptic number.

4381824000 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 4381824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288433568).

4381824000 is an abundant number, since it is smaller than the sum of its proper divisors (10195043136).

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

4381824000 is a wasteful number, since it uses less digits than its factorization.

4381824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11449 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4381824000 is about 66195.3472685203. The cubic root of 4381824000 is about 1636.3830659870.

The spelling of 4381824000 in words is "four billion, three hundred eighty-one million, eight hundred twenty-four thousand".