1117014808140 has 1152 divisors, whose sum is σ = 4866201446400. Its totient is φ = 206928691200.

The previous prime is 1117014808139. The next prime is 1117014808237. The reversal of 1117014808140 is 418084107111.

1117014808140 is a `hidden beast` number, since 1 + 1 + 170 + 1 + 480 + 8 + 1 + 4 + 0 = 666.

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 = 1117014808095 and 1117014808104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147729960 + ... + 147737520.

It is an arithmetic number, because the mean of its divisors is an integer number (4224133200).

Almost surely, 2^{1117014808140} is an apocalyptic number.

1117014808140 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 1117014808140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433100723200).

1117014808140 is an abundant number, since it is smaller than the sum of its proper divisors (3749186638260).

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

1117014808140 is a wasteful number, since it uses less digits than its factorization.

1117014808140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 1117014808140 in words is "one trillion, one hundred seventeen billion, fourteen million, eight hundred eight thousand, one hundred forty".