10344024432 has 160 divisors (see below), whose sum is σ = 34508505600. Its totient is φ = 2905293312.

The previous prime is 10344024359. The next prime is 10344024451. The reversal of 10344024432 is 23442044301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10344024396 and 10344024405.

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, 149428 + ... + 207404.

It is an arithmetic number, because the mean of its divisors is an integer number (215678160).

Almost surely, 2^10344024432 is an apocalyptic number.

10344024432 is a gapful number since it is divisible by the number (12) 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 10344024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254252800).

10344024432 is an abundant number, since it is smaller than the sum of its proper divisors (24164481168).

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

10344024432 is a wasteful number, since it uses less digits than its factorization.

10344024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58060 (or 58048 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10344024432 its reverse (23442044301), we get a palindrome (33786068733).

The spelling of 10344024432 in words is "ten billion, three hundred forty-four million, twenty-four thousand, four hundred thirty-two".