10239001344 has 432 divisors, whose sum is σ = 35998470144. Its totient is φ = 2861568000.

The previous prime is 10239001343. The next prime is 10239001361. The reversal of 10239001344 is 44310093201.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (10239001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895169 + ... + 8896319.

It is an arithmetic number, because the mean of its divisors is an integer number (83329792).

Almost surely, 2^10239001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10239001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999235072).

10239001344 is an abundant number, since it is smaller than the sum of its proper divisors (25759468800).

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

10239001344 is a wasteful number, since it uses less digits than its factorization.

10239001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10239001344 its reverse (44310093201), we get a palindrome (54549094545).

The spelling of 10239001344 in words is "ten billion, two hundred thirty-nine million, one thousand, three hundred forty-four".