10132441400 has 48 divisors (see below), whose sum is σ = 23624827200. Its totient is φ = 4041466880.

The previous prime is 10132441387. The next prime is 10132441433. The reversal of 10132441400 is 414423101.

10132441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1160 + ... + 142359.

It is an arithmetic number, because the mean of its divisors is an integer number (492183900).

Almost surely, 2^10132441400 is an apocalyptic number.

10132441400 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 10132441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812413600).

10132441400 is an abundant number, since it is smaller than the sum of its proper divisors (13492385800).

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

10132441400 is a wasteful number, since it uses less digits than its factorization.

10132441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143888 (or 143879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10132441400 its reverse (414423101), we get a palindrome (10546864501).

The spelling of 10132441400 in words is "ten billion, one hundred thirty-two million, four hundred forty-one thousand, four hundred".