1196131046400 has 1188 divisors, whose sum is σ = 4605160537692. Its totient is φ = 296528117760.

The previous prime is 1196131046389. The next prime is 1196131046459. The reversal of 1196131046400 is 46401316911.

1196131046400 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 1 + 3 + 1 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53660795904 + 1142470250496 = 231648^2 + 1068864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6071731102 + ... + 6071731298.

It is an arithmetic number, because the mean of its divisors is an integer number (3876397759).

Almost surely, 2^{1196131046400} is an apocalyptic number.

1196131046400 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 1196131046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302580268846).

1196131046400 is an abundant number, since it is smaller than the sum of its proper divisors (3409029491292).

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

1196131046400 is a wasteful number, since it uses less digits than its factorization.

1196131046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1196131046400 in words is "one trillion, one hundred ninety-six billion, one hundred thirty-one million, forty-six thousand, four hundred".