1199838044160 has 1344 divisors, whose sum is σ = 5224521399552. Its totient is φ = 257861615616.

The previous prime is 1199838044159. The next prime is 1199838044173. The reversal of 1199838044160 is 614408389911.

1199838044160 is a `hidden beast` number, since 1 + 19 + 98 + 380 + 4 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1199838044160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1199838044097 and 1199838044106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184439814 + ... + 1184440826.

It is an arithmetic number, because the mean of its divisors is an integer number (3887292708).

Almost surely, 2^{1199838044160} is an apocalyptic number.

1199838044160 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 1199838044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612260699776).

1199838044160 is an abundant number, since it is smaller than the sum of its proper divisors (4024683355392).

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

1199838044160 is an equidigital number, since it uses as much as digits as its factorization.

1199838044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1199838044160 in words is "one trillion, one hundred ninety-nine billion, eight hundred thirty-eight million, forty-four thousand, one hundred sixty".