10141130400 has 144 divisors (see below), whose sum is σ = 33099444000. Its totient is φ = 2696924160.

The previous prime is 10141130393. The next prime is 10141130401. The reversal of 10141130400 is 403114101.

10141130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10141130400⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10141130400.

It is not an unprimeable number, because it can be changed into a prime (10141130401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 904026 + ... + 915174.

It is an arithmetic number, because the mean of its divisors is an integer number (229857250).

Almost surely, 2^10141130400 is an apocalyptic number.

10141130400 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 10141130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549722000).

10141130400 is an abundant number, since it is smaller than the sum of its proper divisors (22958313600).

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

10141130400 is a wasteful number, since it uses less digits than its factorization.

10141130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10141130400 its reverse (403114101), we get a palindrome (10544244501).

The spelling of 10141130400 in words is "ten billion, one hundred forty-one million, one hundred thirty thousand, four hundred".