11238275040 has 192 divisors, whose sum is σ = 37365027840. Its totient is φ = 2831431680.

The previous prime is 11238275003. The next prime is 11238275047. The reversal of 11238275040 is 4057283211.

It is a junction number, because it is equal to n+sod(n) for n = 11238274992 and 11238275010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238275047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838057 + ... + 3840983.

It is an arithmetic number, because the mean of its divisors is an integer number (194609520).

Almost surely, 2^11238275040 is an apocalyptic number.

11238275040 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 11238275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682513920).

11238275040 is an abundant number, since it is smaller than the sum of its proper divisors (26126752800).

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

11238275040 is a wasteful number, since it uses less digits than its factorization.

11238275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11238275040 in words is "eleven billion, two hundred thirty-eight million, two hundred seventy-five thousand, forty".