10132104431440 has 40 divisors (see below), whose sum is σ = 23569496143200. Its totient is φ = 4050716466816.

The previous prime is 10132104431429. The next prime is 10132104431479. The reversal of 10132104431440 is 4413440123101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10132104431399 and 10132104431408.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33054390 + ... + 33359509.

It is an arithmetic number, because the mean of its divisors is an integer number (589237403580).

Almost surely, 2^{10132104431440} is an apocalyptic number.

10132104431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132104431440 is an abundant number, since it is smaller than the sum of its proper divisors (13437391711760).

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

10132104431440 is a wasteful number, since it uses less digits than its factorization.

10132104431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66415819 (or 66415813 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10132104431440 its reverse (4413440123101), we get a palindrome (14545544554541).

The spelling of 10132104431440 in words is "ten trillion, one hundred thirty-two billion, one hundred four million, four hundred thirty-one thousand, four hundred forty".