11076474240 has 384 divisors, whose sum is σ = 41982857280. Its totient is φ = 2674114560.

The previous prime is 11076474239. The next prime is 11076474259. The reversal of 11076474240 is 4247467011.

It is a happy number.

11076474240 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 647 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 11076474195 and 11076474204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3967245 + ... + 3970035.

Almost surely, 2^11076474240 is an apocalyptic number.

11076474240 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 11076474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991428640).

11076474240 is an abundant number, since it is smaller than the sum of its proper divisors (30906383040).

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

11076474240 is a wasteful number, since it uses less digits than its factorization.

11076474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11076474240 in words is "eleven billion, seventy-six million, four hundred seventy-four thousand, two hundred forty".