10013040000 has 240 divisors, whose sum is σ = 36008020620. Its totient is φ = 2669952000.

The previous prime is 10013039987. The next prime is 10013040031. The reversal of 10013040000 is 4031001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 713047 + ... + 726953.

Almost surely, 2^10013040000 is an apocalyptic number.

10013040000 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 10013040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004010310).

10013040000 is an abundant number, since it is smaller than the sum of its proper divisors (25994980620).

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

10013040000 is an equidigital number, since it uses as much as digits as its factorization.

10013040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10013040000 its reverse (4031001), we get a palindrome (10017071001).

The spelling of 10013040000 in words is "ten billion, thirteen million, forty thousand".