11032214035040 has 192 divisors, whose sum is σ = 29035988352000. Its totient is φ = 3927209287680.

The previous prime is 11032214035033. The next prime is 11032214035079. The reversal of 11032214035040 is 4053041223011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24595496 + ... + 25040024.

It is an arithmetic number, because the mean of its divisors is an integer number (151229106000).

Almost surely, 2^{11032214035040} is an apocalyptic number.

11032214035040 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 11032214035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517994176000).

11032214035040 is an abundant number, since it is smaller than the sum of its proper divisors (18003774316960).

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

11032214035040 is a wasteful number, since it uses less digits than its factorization.

11032214035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444853 (or 444845 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 11032214035040 its reverse (4053041223011), we get a palindrome (15085255258051).

The spelling of 11032214035040 in words is "eleven trillion, thirty-two billion, two hundred fourteen million, thirty-five thousand, forty".