11333434112040 has 128 divisors (see below), whose sum is σ = 34183614971520. Its totient is φ = 3005980800000.

The previous prime is 11333434111949. The next prime is 11333434112089. The reversal of 11333434112040 is 4021143433311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11333434111989 and 11333434112007.

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, 27608290 + ... + 28015790.

It is an arithmetic number, because the mean of its divisors is an integer number (267059491965).

Almost surely, 2^{11333434112040} is an apocalyptic number.

11333434112040 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 11333434112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091807485760).

11333434112040 is an abundant number, since it is smaller than the sum of its proper divisors (22850180859480).

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

11333434112040 is a wasteful number, since it uses less digits than its factorization.

11333434112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408763 (or 408759 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11333434112040 its reverse (4021143433311), we get a palindrome (15354577545351).

The spelling of 11333434112040 in words is "eleven trillion, three hundred thirty-three billion, four hundred thirty-four million, one hundred twelve thousand, forty".