10541138400 has 324 divisors, whose sum is σ = 40254564168. Its totient is φ = 2594442240.

The previous prime is 10541138393. The next prime is 10541138401. The reversal of 10541138400 is 483114501.

It is a happy number.

It is a super-2 number, since 2×10541138400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541138401) 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 53 ways as a sum of consecutive naturals, for example, 1212469 + ... + 1221131.

It is an arithmetic number, because the mean of its divisors is an integer number (124242482).

Almost surely, 2^10541138400 is an apocalyptic number.

10541138400 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 10541138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127282084).

10541138400 is an abundant number, since it is smaller than the sum of its proper divisors (29713425768).

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

10541138400 is a wasteful number, since it uses less digits than its factorization.

10541138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10541138400 in words is "ten billion, five hundred forty-one million, one hundred thirty-eight thousand, four hundred".