1179721670400 has 2592 divisors, whose sum is σ = 5565893760000. Its totient is φ = 239117598720.

The previous prime is 1179721670359. The next prime is 1179721670401. The reversal of 1179721670400 is 40761279711.

1179721670400 is a `hidden beast` number, since 1 + 17 + 9 + 72 + 167 + 0 + 400 = 666.

It is a super-2 number, since 2×1179721670400² (a number of 25 digits) contains 22 as substring.

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 (1179721670401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5928249501 + ... + 5928249699.

Almost surely, 2^{1179721670400} is an apocalyptic number.

1179721670400 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 1179721670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782946880000).

1179721670400 is an abundant number, since it is smaller than the sum of its proper divisors (4386172089600).

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

1179721670400 is a wasteful number, since it uses less digits than its factorization.

1179721670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1179721670400 in words is "one trillion, one hundred seventy-nine billion, seven hundred twenty-one million, six hundred seventy thousand, four hundred".