1182609671040 has 768 divisors, whose sum is σ = 4798499097600. Its totient is φ = 262806405120.

The previous prime is 1182609671029. The next prime is 1182609671183. The reversal of 1182609671040 is 401769062811.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208975731 + ... + 208981389.

It is an arithmetic number, because the mean of its divisors is an integer number (6248045700).

Almost surely, 2^{1182609671040} is an apocalyptic number.

1182609671040 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 1182609671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399249548800).

1182609671040 is an abundant number, since it is smaller than the sum of its proper divisors (3615889426560).

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

1182609671040 is a wasteful number, since it uses less digits than its factorization.

1182609671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1182609671040 in words is "one trillion, one hundred eighty-two billion, six hundred nine million, six hundred seventy-one thousand, forty".