10388640640 has 384 divisors, whose sum is σ = 31115059200. Its totient is φ = 3239792640.

The previous prime is 10388640601. The next prime is 10388640641. The reversal of 10388640640 is 4604688301.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10388640593 and 10388640602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10388640641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81800257 + ... + 81800383.

It is an arithmetic number, because the mean of its divisors is an integer number (81028800).

Almost surely, 2^10388640640 is an apocalyptic number.

10388640640 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 10388640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557529600).

10388640640 is an abundant number, since it is smaller than the sum of its proper divisors (20726418560).

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

10388640640 is a wasteful number, since it uses less digits than its factorization.

10388640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 10388640640 in words is "ten billion, three hundred eighty-eight million, six hundred forty thousand, six hundred forty".