10414333000 has 128 divisors (see below), whose sum is σ = 24825715200. Its totient is φ = 4088448000.

The previous prime is 10414332979. The next prime is 10414333003. The reversal of 10414333000 is 33341401.

It is not an unprimeable number, because it can be changed into a prime (10414333003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19038727 + ... + 19039273.

It is an arithmetic number, because the mean of its divisors is an integer number (193950900).

Almost surely, 2^10414333000 is an apocalyptic number.

10414333000 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 10414333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412857600).

10414333000 is an abundant number, since it is smaller than the sum of its proper divisors (14411382200).

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

10414333000 is a wasteful number, since it uses less digits than its factorization.

10414333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10414333000 its reverse (33341401), we get a palindrome (10447674401).

The spelling of 10414333000 in words is "ten billion, four hundred fourteen million, three hundred thirty-three thousand".