10014042000 has 160 divisors (see below), whose sum is σ = 32335430400. Its totient is φ = 2666265600.

The previous prime is 10014041977. The next prime is 10014042001. The reversal of 10014042000 is 24041001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10014042001) 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, 7157301 + ... + 7158699.

It is an arithmetic number, because the mean of its divisors is an integer number (202096440).

Almost surely, 2^10014042000 is an apocalyptic number.

10014042000 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 10014042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167715200).

10014042000 is an abundant number, since it is smaller than the sum of its proper divisors (22321388400).

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

10014042000 is a wasteful number, since it uses less digits than its factorization.

10014042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10014042000 its reverse (24041001), we get a palindrome (10038083001).

Subtracting from 10014042000 its reverse (24041001), we obtain a palindrome (9990000999).

The spelling of 10014042000 in words is "ten billion, fourteen million, forty-two thousand".