10334193408 has 288 divisors, whose sum is σ = 38102776320. Its totient is φ = 2684067840.

The previous prime is 10334193403. The next prime is 10334193421. The reversal of 10334193408 is 80439143301.

10334193408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334193403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522516 + ... + 541932.

Almost surely, 2^10334193408 is an apocalyptic number.

10334193408 is a gapful number since it is divisible by the number (18) 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 10334193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051388160).

10334193408 is an abundant number, since it is smaller than the sum of its proper divisors (27768582912).

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

10334193408 is a wasteful number, since it uses less digits than its factorization.

10334193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10334193408 in words is "ten billion, three hundred thirty-four million, one hundred ninety-three thousand, four hundred eight".