1172808030240 has 864 divisors, whose sum is σ = 5087744887680. Its totient is φ = 243274752000.

The previous prime is 1172808030167. The next prime is 1172808030263. The reversal of 1172808030240 is 420308082711.

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 = 1172808030195 and 1172808030204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 651197340 + ... + 651199140.

It is an arithmetic number, because the mean of its divisors is an integer number (5888593620).

Almost surely, 2^{1172808030240} is an apocalyptic number.

1172808030240 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 1172808030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543872443840).

1172808030240 is an abundant number, since it is smaller than the sum of its proper divisors (3914936857440).

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

1172808030240 is a wasteful number, since it uses less digits than its factorization.

1172808030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1172808030240 in words is "one trillion, one hundred seventy-two billion, eight hundred eight million, thirty thousand, two hundred forty".