11237104048040 has 128 divisors (see below), whose sum is σ = 27310655554560. Its totient is φ = 4136552285184.

The previous prime is 11237104047971. The next prime is 11237104048061. The reversal of 11237104048040 is 4084040173211.

It is a Cunningham number, because it is equal to 3352179²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871559834 + ... + 871572726.

It is an arithmetic number, because the mean of its divisors is an integer number (213364496520).

Almost surely, 2^{11237104048040} is an apocalyptic number.

11237104048040 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 11237104048040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655327777280).

11237104048040 is an abundant number, since it is smaller than the sum of its proper divisors (16073551506520).

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

11237104048040 is a wasteful number, since it uses less digits than its factorization.

11237104048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17851 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 11237104048040 in words is "eleven trillion, two hundred thirty-seven billion, one hundred four million, forty-eight thousand, forty".