11225228033040 has 320 divisors, whose sum is σ = 40056126720000. Its totient is φ = 2547320389632.

The previous prime is 11225228033023. The next prime is 11225228033053. The reversal of 11225228033040 is 4033082252211.

It is a junction number, because it is equal to n+sod(n) for n = 11225228032992 and 11225228033010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161761071 + ... + 161830449.

It is an arithmetic number, because the mean of its divisors is an integer number (125175396000).

Almost surely, 2^{11225228033040} is an apocalyptic number.

11225228033040 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 11225228033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028063360000).

11225228033040 is an abundant number, since it is smaller than the sum of its proper divisors (28830898686960).

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

11225228033040 is a wasteful number, since it uses less digits than its factorization.

11225228033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70094 (or 70088 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 11225228033040 in words is "eleven trillion, two hundred twenty-five billion, two hundred twenty-eight million, thirty-three thousand, forty".