10334406264 has 128 divisors (see below), whose sum is σ = 32824135680. Its totient is φ = 2637619200.

The previous prime is 10334406239. The next prime is 10334406281. The reversal of 10334406264 is 46260443301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8617 + ... + 144024.

It is an arithmetic number, because the mean of its divisors is an integer number (256438560).

Almost surely, 2^10334406264 is an apocalyptic number.

10334406264 is a gapful number since it is divisible by the number (14) 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 10334406264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412067840).

10334406264 is an abundant number, since it is smaller than the sum of its proper divisors (22489729416).

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

10334406264 is a wasteful number, since it uses less digits than its factorization.

10334406264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152701 (or 152697 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 10334406264 its reverse (46260443301), we get a palindrome (56594849565).

The spelling of 10334406264 in words is "ten billion, three hundred thirty-four million, four hundred six thousand, two hundred sixty-four".