9111377975040 has 1440 divisors, whose sum is σ = 37245807244800. Its totient is φ = 2105198346240.

The previous prime is 9111377975039. The next prime is 9111377975053. The reversal of 9111377975040 is 405797731119.

It is a happy number.

9111377975040 is a `hidden beast` number, since 9 + 1 + 11 + 37 + 7 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10990805346 + ... + 10990806174.

It is an arithmetic number, because the mean of its divisors is an integer number (25865143920).

Almost surely, 2^{9111377975040} is an apocalyptic number.

9111377975040 is a gapful number since it is divisible by the number (90) 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 9111377975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18622903622400).

9111377975040 is an abundant number, since it is smaller than the sum of its proper divisors (28134429269760).

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

9111377975040 is a wasteful number, since it uses less digits than its factorization.

9111377975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 9111377975040 in words is "nine trillion, one hundred eleven billion, three hundred seventy-seven million, nine hundred seventy-five thousand, forty".