11171165040 has 360 divisors, whose sum is σ = 44711857008. Its totient is φ = 2490808320.

The previous prime is 11171165009. The next prime is 11171165123. The reversal of 11171165040 is 4056117111.

11171165040 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 1 + 1 + 650 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 11171164995 and 11171165013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1442619 + ... + 1450341.

Almost surely, 2^11171165040 is an apocalyptic number.

11171165040 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 11171165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355928504).

11171165040 is an abundant number, since it is smaller than the sum of its proper divisors (33540691968).

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

11171165040 is a wasteful number, since it uses less digits than its factorization.

11171165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11171165040 in words is "eleven billion, one hundred seventy-one million, one hundred sixty-five thousand, forty".