10234132440400 has 120 divisors (see below), whose sum is σ = 27027485942688. Its totient is φ = 3693094080000.

The previous prime is 10234132440373. The next prime is 10234132440401. The reversal of 10234132440400 is 404423143201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234132440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8301231 + ... + 9454030.

Almost surely, 2^{10234132440400} is an apocalyptic number.

10234132440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234132440400 is an abundant number, since it is smaller than the sum of its proper divisors (16793353502288).

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

10234132440400 is a wasteful number, since it uses less digits than its factorization.

10234132440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17755421 (or 17755410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10234132440400 its reverse (404423143201), we get a palindrome (10638555583601).

The spelling of 10234132440400 in words is "ten trillion, two hundred thirty-four billion, one hundred thirty-two million, four hundred forty thousand, four hundred".