11041511040 has 1152 divisors, whose sum is σ = 48977136000. Its totient is φ = 2275983360.

The previous prime is 11041511023. The next prime is 11041511051. The reversal of 11041511040 is 4011514011.

11041511040 is a `hidden beast` number, since 110 + 4 + 1 + 511 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155514205 + ... + 155514275.

It is an arithmetic number, because the mean of its divisors is an integer number (42514875).

Almost surely, 2^11041511040 is an apocalyptic number.

11041511040 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 11041511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24488568000).

11041511040 is an abundant number, since it is smaller than the sum of its proper divisors (37935624960).

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

11041511040 is a wasteful number, since it uses less digits than its factorization.

11041511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 11041511040 in words is "eleven billion, forty-one million, five hundred eleven thousand, forty".