10338341760 has 384 divisors, whose sum is σ = 37797364800. Its totient is φ = 2598469632.

The previous prime is 10338341759. The next prime is 10338341821. The reversal of 10338341760 is 6714383301.

10338341760 is a `hidden beast` number, since 103 + 3 + 83 + 417 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670506 + ... + 9671574.

Almost surely, 2^10338341760 is an apocalyptic number.

10338341760 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 10338341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898682400).

10338341760 is an abundant number, since it is smaller than the sum of its proper divisors (27459023040).

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

10338341760 is a wasteful number, since it uses less digits than its factorization.

10338341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10338341760 in words is "ten billion, three hundred thirty-eight million, three hundred forty-one thousand, seven hundred sixty".