10388640000 has 360 divisors, whose sum is σ = 36090597312. Its totient is φ = 2647040000.

The previous prime is 10388639999. The next prime is 10388640011. The reversal of 10388640000 is 4688301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10388640000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11039530 + ... + 11040470.

Almost surely, 2^10388640000 is an apocalyptic number.

10388640000 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 10388640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045298656).

10388640000 is an abundant number, since it is smaller than the sum of its proper divisors (25701957312).

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

10388640000 is an frugal number, since it uses more digits than its factorization.

10388640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10388640000 in words is "ten billion, three hundred eighty-eight million, six hundred forty thousand".