10387440000 has 800 divisors, whose sum is σ = 44339869200. Its totient is φ = 2363904000.

The previous prime is 10387439999. The next prime is 10387440013. The reversal of 10387440000 is 4478301.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 45359886 + ... + 45360114.

Almost surely, 2^10387440000 is an apocalyptic number.

10387440000 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 10387440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169934600).

10387440000 is an abundant number, since it is smaller than the sum of its proper divisors (33952429200).

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

10387440000 is an frugal number, since it uses more digits than its factorization.

10387440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10387440000 in words is "ten billion, three hundred eighty-seven million, four hundred forty thousand".