10386429310180 has 384 divisors, whose sum is σ = 29634232320000. Its totient is φ = 2959366233600.

The previous prime is 10386429310171. The next prime is 10386429310181. The reversal of 10386429310180 is 8101392468301.

It is a self number, because there is not a number n which added to its sum of digits gives 10386429310180.

It is not an unprimeable number, because it can be changed into a prime (10386429310181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314733321 + ... + 314766319.

It is an arithmetic number, because the mean of its divisors is an integer number (77172480000).

Almost surely, 2^{10386429310180} is an apocalyptic number.

10386429310180 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 10386429310180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817116160000).

10386429310180 is an abundant number, since it is smaller than the sum of its proper divisors (19247803009820).

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

10386429310180 is a wasteful number, since it uses less digits than its factorization.

10386429310180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33423 (or 33421 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10386429310180 in words is "ten trillion, three hundred eighty-six billion, four hundred twenty-nine million, three hundred ten thousand, one hundred eighty".