10141041400 has 192 divisors, whose sum is σ = 27895982400. Its totient is φ = 3355914240.

The previous prime is 10141041373. The next prime is 10141041401. The reversal of 10141041400 is 414014101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141041401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7095886 + ... + 7097314.

It is an arithmetic number, because the mean of its divisors is an integer number (145291575).

Almost surely, 2^10141041400 is an apocalyptic number.

10141041400 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 10141041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947991200).

10141041400 is an abundant number, since it is smaller than the sum of its proper divisors (17754941000).

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

10141041400 is a wasteful number, since it uses less digits than its factorization.

10141041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10141041400 its reverse (414014101), we get a palindrome (10555055501).

The spelling of 10141041400 in words is "ten billion, one hundred forty-one million, forty-one thousand, four hundred".