10132324440 has 128 divisors (see below), whose sum is σ = 34884241920. Its totient is φ = 2306304000.

The previous prime is 10132324403. The next prime is 10132324463. The reversal of 10132324440 is 4442323101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10132324440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177415 + ... + 227465.

It is an arithmetic number, because the mean of its divisors is an integer number (272533140).

Almost surely, 2^10132324440 is an apocalyptic number.

10132324440 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 10132324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442120960).

10132324440 is an abundant number, since it is smaller than the sum of its proper divisors (24751917480).

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

10132324440 is a wasteful number, since it uses less digits than its factorization.

10132324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50313 (or 50309 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10132324440 its reverse (4442323101), we get a palindrome (14574647541).

The spelling of 10132324440 in words is "ten billion, one hundred thirty-two million, three hundred twenty-four thousand, four hundred forty".