6440430011232 has 288 divisors, whose sum is σ = 20055349125504. Its totient is φ = 1804060876800.

The previous prime is 6440430011219. The next prime is 6440430011287. The reversal of 6440430011232 is 2321100340446.

It is a self number, because there is not a number n which added to its sum of digits gives 6440430011232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51083632 + ... + 51209552.

It is an arithmetic number, because the mean of its divisors is an integer number (69636628908).

Almost surely, 2^{6440430011232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440430011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027674562752).

6440430011232 is an abundant number, since it is smaller than the sum of its proper divisors (13614919114272).

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

6440430011232 is a wasteful number, since it uses less digits than its factorization.

6440430011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126162 (or 126147 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 6440430011232 its reverse (2321100340446), we get a palindrome (8761530351678).

The spelling of 6440430011232 in words is "six trillion, four hundred forty billion, four hundred thirty million, eleven thousand, two hundred thirty-two".