10239801440 has 96 divisors (see below), whose sum is σ = 26453952000. Its totient is φ = 3714649600.

The previous prime is 10239801427. The next prime is 10239801443. The reversal of 10239801440 is 4410893201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10239801397 and 10239801406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239801443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751811 + ... + 765309.

It is an arithmetic number, because the mean of its divisors is an integer number (275562000).

Almost surely, 2^10239801440 is an apocalyptic number.

10239801440 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 10239801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226976000).

10239801440 is an abundant number, since it is smaller than the sum of its proper divisors (16214150560).

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

10239801440 is a wasteful number, since it uses less digits than its factorization.

10239801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10239801440 in words is "ten billion, two hundred thirty-nine million, eight hundred one thousand, four hundred forty".