10040117177088 has 576 divisors, whose sum is σ = 32533028720640. Its totient is φ = 3040527974400.

The previous prime is 10040117177087. The next prime is 10040117177117. The reversal of 10040117177088 is 88077171104001.

10040117177088 is a `hidden beast` number, since 1 + 0 + 0 + 401 + 171 + 7 + 70 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (10040117177081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1533541431 + ... + 1533547977.

It is an arithmetic number, because the mean of its divisors is an integer number (56480952640).

Almost surely, 2^{10040117177088} is an apocalyptic number.

10040117177088 is a gapful number since it is divisible by the number (18) 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 10040117177088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266514360320).

10040117177088 is an abundant number, since it is smaller than the sum of its proper divisors (22492911543552).

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

10040117177088 is a wasteful number, since it uses less digits than its factorization.

10040117177088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 45.

The spelling of 10040117177088 in words is "ten trillion, forty billion, one hundred seventeen million, one hundred seventy-seven thousand, eighty-eight".