10338140160 has 640 divisors, whose sum is σ = 39965864400. Its totient is φ = 2548039680.

The previous prime is 10338140143. The next prime is 10338140161. The reversal of 10338140160 is 6104183301.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338140161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252149740 + ... + 252149780.

Almost surely, 2^10338140160 is an apocalyptic number.

10338140160 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 10338140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982932200).

10338140160 is an abundant number, since it is smaller than the sum of its proper divisors (29627724240).

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

10338140160 is an frugal number, since it uses more digits than its factorization.

10338140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10338140160 in words is "ten billion, three hundred thirty-eight million, one hundred forty thousand, one hundred sixty".