6431040000 has 1200 divisors, whose sum is σ = 29913174720. Its totient is φ = 1290240000.

The previous prime is 6431039999. The next prime is 6431040013. The reversal of 6431040000 is 401346.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221759986 + ... + 221760014.

Almost surely, 2^6431040000 is an apocalyptic number.

6431040000 is a gapful number since it is divisible by the number (60) 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 6431040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956587360).

6431040000 is an abundant number, since it is smaller than the sum of its proper divisors (23482134720).

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

6431040000 is a wasteful number, since it uses less digits than its factorization.

6431040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

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

The square root of 6431040000 is about 80193.7653436974. The cubic root of 6431040000 is about 1859.6322547337.

Adding to 6431040000 its reverse (401346), we get a palindrome (6431441346).

The spelling of 6431040000 in words is "six billion, four hundred thirty-one million, forty thousand".