1179821103840 has 576 divisors, whose sum is σ = 4219033029120. Its totient is φ = 311341086720.

The previous prime is 1179821103823. The next prime is 1179821103847. The reversal of 1179821103840 is 483011289711.

It is a happy number.

1179821103840 is a `hidden beast` number, since 11 + 79 + 82 + 110 + 384 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1179821103847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2526383287 + ... + 2526383753.

It is an arithmetic number, because the mean of its divisors is an integer number (7324710120).

Almost surely, 2^{1179821103840} is an apocalyptic number.

1179821103840 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 1179821103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109516514560).

1179821103840 is an abundant number, since it is smaller than the sum of its proper divisors (3039211925280).

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

1179821103840 is a wasteful number, since it uses less digits than its factorization.

1179821103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1179821103840 in words is "one trillion, one hundred seventy-nine billion, eight hundred twenty-one million, one hundred three thousand, eight hundred forty".