11903000040 has 192 divisors, whose sum is σ = 39719496960. Its totient is φ = 3089963520.

The previous prime is 11903000029. The next prime is 11903000063. The reversal of 11903000040 is 4000030911.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11902999977 and 11903000022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331455 + ... + 3335025.

It is an arithmetic number, because the mean of its divisors is an integer number (206872380).

Almost surely, 2^11903000040 is an apocalyptic number.

11903000040 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 11903000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859748480).

11903000040 is an abundant number, since it is smaller than the sum of its proper divisors (27816496920).

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

11903000040 is a wasteful number, since it uses less digits than its factorization.

11903000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11903000040 its reverse (4000030911), we get a palindrome (15903030951).

The spelling of 11903000040 in words is "eleven billion, nine hundred three million, forty", and thus it is an aban number.