10400041000 has 64 divisors (see below), whose sum is σ = 24373327680. Its totient is φ = 4153652800.

The previous prime is 10400040997. The next prime is 10400041009. The reversal of 10400041000 is 14000401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10400041009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675387 + ... + 690613.

It is an arithmetic number, because the mean of its divisors is an integer number (380833245).

Almost surely, 2^10400041000 is an apocalyptic number.

10400041000 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 10400041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186663840).

10400041000 is an abundant number, since it is smaller than the sum of its proper divisors (13973286680).

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

10400041000 is a wasteful number, since it uses less digits than its factorization.

10400041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10400041000 its reverse (14000401), we get a palindrome (10414041401).

The spelling of 10400041000 in words is "ten billion, four hundred million, forty-one thousand".