10041882000 has 160 divisors (see below), whose sum is σ = 32691360000. Its totient is φ = 2651673600.

The previous prime is 10041881981. The next prime is 10041882007. The reversal of 10041882000 is 28814001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10041882007) 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, 609876 + ... + 626124.

It is an arithmetic number, because the mean of its divisors is an integer number (204321000).

Almost surely, 2^10041882000 is an apocalyptic number.

10041882000 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 10041882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345680000).

10041882000 is an abundant number, since it is smaller than the sum of its proper divisors (22649478000).

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

10041882000 is a wasteful number, since it uses less digits than its factorization.

10041882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16362 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 10041882000 in words is "ten billion, forty-one million, eight hundred eighty-two thousand".