11133347940 has 720 divisors, whose sum is σ = 43944704496. Its totient is φ = 2335703040.

The previous prime is 11133347917. The next prime is 11133347941. The reversal of 11133347940 is 4974333111.

It is a happy number.

11133347940 is a `hidden beast` number, since 1 + 113 + 33 + 479 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491774976 + 10641572964 = 22176^2 + 103158^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11133347895 and 11133347904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133347941) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43320292 + ... + 43320548.

Almost surely, 2^11133347940 is an apocalyptic number.

11133347940 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 11133347940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972352248).

11133347940 is an abundant number, since it is smaller than the sum of its proper divisors (32811356556).

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

11133347940 is a wasteful number, since it uses less digits than its factorization.

11133347940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 11133347940 in words is "eleven billion, one hundred thirty-three million, three hundred forty-seven thousand, nine hundred forty".