10334444640 has 576 divisors, whose sum is σ = 38250455040. Its totient is φ = 2337054720.

The previous prime is 10334444629. The next prime is 10334444683. The reversal of 10334444640 is 4644443301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54106945 + ... + 54107135.

It is an arithmetic number, because the mean of its divisors is an integer number (66407040).

Almost surely, 2^10334444640 is an apocalyptic number.

10334444640 is a gapful number since it is divisible by the number (10) 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 10334444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125227520).

10334444640 is an abundant number, since it is smaller than the sum of its proper divisors (27916010400).

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

10334444640 is a wasteful number, since it uses less digits than its factorization.

10334444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10334444640 its reverse (4644443301), we get a palindrome (14978887941).

The spelling of 10334444640 in words is "ten billion, three hundred thirty-four million, four hundred forty-four thousand, six hundred forty".