4631040000 has 520 divisors, whose sum is σ = 17400305120. Its totient is φ = 1216512000.

The previous prime is 4631039999. The next prime is 4631040013. The reversal of 4631040000 is 401364.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119967 + ... + 69120033.

Almost surely, 2^4631040000 is an apocalyptic number.

4631040000 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 4631040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700152560).

4631040000 is an abundant number, since it is smaller than the sum of its proper divisors (12769265120).

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

4631040000 is an frugal number, since it uses more digits than its factorization.

4631040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4631040000 is about 68051.7450180376. The cubic root of 4631040000 is about 1666.8358939278.

Adding to 4631040000 its reverse (401364), we get a palindrome (4631441364).

The spelling of 4631040000 in words is "four billion, six hundred thirty-one million, forty thousand".