11332103303040 has 256 divisors, whose sum is σ = 38910049980480. Its totient is φ = 2788693180416.

The previous prime is 11332103303023. The next prime is 11332103303041. The reversal of 11332103303040 is 4030330123311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11332103303040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332103303041) 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, 96111964 + ... + 96229796.

Almost surely, 2^{11332103303040} is an apocalyptic number.

11332103303040 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 11332103303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455024990240).

11332103303040 is an abundant number, since it is smaller than the sum of its proper divisors (27577946677440).

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

11332103303040 is a wasteful number, since it uses less digits than its factorization.

11332103303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121721 (or 121709 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11332103303040 its reverse (4030330123311), we get a palindrome (15362433426351).

The spelling of 11332103303040 in words is "eleven trillion, three hundred thirty-two billion, one hundred three million, three hundred three thousand, forty".