11040726000 has 320 divisors, whose sum is σ = 37479851136. Its totient is φ = 2792448000.

The previous prime is 11040725999. The next prime is 11040726001. The reversal of 11040726000 is 62704011.

It is an interprime number because it is at equal distance from previous prime (11040725999) and next prime (11040726001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040726001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9101394 + ... + 9102606.

Almost surely, 2^11040726000 is an apocalyptic number.

11040726000 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 11040726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739925568).

11040726000 is an abundant number, since it is smaller than the sum of its proper divisors (26439125136).

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

11040726000 is a wasteful number, since it uses less digits than its factorization.

11040726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 11040726000 in words is "eleven billion, forty million, seven hundred twenty-six thousand".