10439072640 has 320 divisors, whose sum is σ = 37766520000. Its totient is φ = 2747437056.

The previous prime is 10439072627. The next prime is 10439072641. The reversal of 10439072640 is 4627093401.

10439072640 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 0 + 7 + 2 + 640 = 666.

10439072640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10439072595 and 10439072604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10439072641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4094086 + ... + 4096634.

It is an arithmetic number, because the mean of its divisors is an integer number (118020375).

Almost surely, 2^10439072640 is an apocalyptic number.

10439072640 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 10439072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883260000).

10439072640 is an abundant number, since it is smaller than the sum of its proper divisors (27327447360).

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

10439072640 is an equidigital number, since it uses as much as digits as its factorization.

10439072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10439072640 in words is "ten billion, four hundred thirty-nine million, seventy-two thousand, six hundred forty".