1179551040 has 224 divisors, whose sum is σ = 3871203840. Its totient is φ = 304152576.

The previous prime is 1179551033. The next prime is 1179551047. The reversal of 1179551040 is 401559711.

It is an interprime number because it is at equal distance from previous prime (1179551033) and next prime (1179551047).

It is a junction number, because it is equal to n+sod(n) for n = 1179550992 and 1179551010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1179551047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4935241 + ... + 4935479.

It is an arithmetic number, because the mean of its divisors is an integer number (17282160).

Almost surely, 2^1179551040 is an apocalyptic number.

1179551040 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 1179551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935601920).

1179551040 is an abundant number, since it is smaller than the sum of its proper divisors (2691652800).

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

1179551040 is a wasteful number, since it uses less digits than its factorization.

1179551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 1179551040 is about 34344.5925874802. The cubic root of 1179551040 is about 1056.5877696645.

It can be divided in two parts, 11795 and 51040, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 1179551040 in words is "one billion, one hundred seventy-nine million, five hundred fifty-one thousand, forty".