10386414500 has 192 divisors, whose sum is σ = 28398988800. Its totient is φ = 3223872000.

The previous prime is 10386414473. The next prime is 10386414539. The reversal of 10386414500 is 541468301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13436114 + ... + 13436886.

It is an arithmetic number, because the mean of its divisors is an integer number (147911400).

Almost surely, 2^10386414500 is an apocalyptic number.

10386414500 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 10386414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199494400).

10386414500 is an abundant number, since it is smaller than the sum of its proper divisors (18012574300).

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

10386414500 is a wasteful number, since it uses less digits than its factorization.

10386414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10386414500 in words is "ten billion, three hundred eighty-six million, four hundred fourteen thousand, five hundred".