1191340118400 has 384 divisors, whose sum is σ = 4058393103360. Its totient is φ = 306847948800.

The previous prime is 1191340118393. The next prime is 1191340118447. The reversal of 1191340118400 is 48110431911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165759607 + ... + 165766793.

It is an arithmetic number, because the mean of its divisors is an integer number (10568732040).

Almost surely, 2^{1191340118400} is an apocalyptic number.

1191340118400 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 1191340118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029196551680).

1191340118400 is an abundant number, since it is smaller than the sum of its proper divisors (2867052984960).

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

1191340118400 is a wasteful number, since it uses less digits than its factorization.

1191340118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 1191340118400 in words is "one trillion, one hundred ninety-one billion, three hundred forty million, one hundred eighteen thousand, four hundred".