1172879243424 has 1152 divisors, whose sum is σ = 4438167552000. Its totient is φ = 285698949120.

The previous prime is 1172879243401. The next prime is 1172879243453. The reversal of 1172879243424 is 4243429782711.

1172879243424 is a `hidden beast` number, since 1 + 17 + 2 + 87 + 92 + 43 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1958061877 + ... + 1958062475.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576000).

Almost surely, 2^{1172879243424} is an apocalyptic number.

1172879243424 is a gapful number since it is divisible by the number (14) 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 1172879243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219083776000).

1172879243424 is an abundant number, since it is smaller than the sum of its proper divisors (3265288308576).

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

1172879243424 is a wasteful number, since it uses less digits than its factorization.

1172879243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 1172879243424 in words is "one trillion, one hundred seventy-two billion, eight hundred seventy-nine million, two hundred forty-three thousand, four hundred twenty-four".