4631424000 has 352 divisors, whose sum is σ = 17616907776. Its totient is φ = 1057996800.

The previous prime is 4631423981. The next prime is 4631424037. The reversal of 4631424000 is 4241364.

It is a super-3 number, since 3×4631424000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687139 + ... + 2688861.

Almost surely, 2^4631424000 is an apocalyptic number.

4631424000 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 4631424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808453888).

4631424000 is an abundant number, since it is smaller than the sum of its proper divisors (12985483776).

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

4631424000 is a wasteful number, since it uses less digits than its factorization.

4631424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4631424000 is about 68054.5663420171. The cubic root of 4631424000 is about 1666.8819632983.

Adding to 4631424000 its reverse (4241364), we get a palindrome (4635665364).

The spelling of 4631424000 in words is "four billion, six hundred thirty-one million, four hundred twenty-four thousand".