1196320406400 has 1536 divisors, whose sum is σ = 5170219084800. Its totient is φ = 264478556160.

The previous prime is 1196320406389. The next prime is 1196320406417. The reversal of 1196320406400 is 46040236911.

1196320406400 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 3 + 2 + 0 + 4 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×1196320406400² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 4083004654 + ... + 4083004946.

It is an arithmetic number, because the mean of its divisors is an integer number (3366028050).

Almost surely, 2^{1196320406400} is an apocalyptic number.

1196320406400 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 1196320406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585109542400).

1196320406400 is an abundant number, since it is smaller than the sum of its proper divisors (3973898678400).

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

1196320406400 is a wasteful number, since it uses less digits than its factorization.

1196320406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1196320406400 in words is "one trillion, one hundred ninety-six billion, three hundred twenty million, four hundred six thousand, four hundred".