10441400000 has 336 divisors, whose sum is σ = 28501738272. Its totient is φ = 3778560000.

The previous prime is 10441399981. The next prime is 10441400041. The reversal of 10441400000 is 414401.

10441400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125799959 + ... + 125800041.

It is an arithmetic number, because the mean of its divisors is an integer number (84826602).

Almost surely, 2^10441400000 is an apocalyptic number.

10441400000 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 10441400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250869136).

10441400000 is an abundant number, since it is smaller than the sum of its proper divisors (18060338272).

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

10441400000 is an frugal number, since it uses more digits than its factorization.

10441400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10441400000 its reverse (414401), we get a palindrome (10441814401).

The spelling of 10441400000 in words is "ten billion, four hundred forty-one million, four hundred thousand".