1191343798400 has 192 divisors, whose sum is σ = 3383569687680. Its totient is φ = 406013583360.

The previous prime is 1191343798399. The next prime is 1191343798429. The reversal of 1191343798400 is 48973431911.

It is a super-2 number, since 2×1191343798400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3581564 + ... + 3900036.

It is an arithmetic number, because the mean of its divisors is an integer number (17622758790).

Almost surely, 2^{1191343798400} is an apocalyptic number.

1191343798400 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 1191343798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691784843840).

1191343798400 is an abundant number, since it is smaller than the sum of its proper divisors (2192225889280).

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

1191343798400 is a wasteful number, since it uses less digits than its factorization.

1191343798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318671 (or 318654 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 1191343798400 in words is "one trillion, one hundred ninety-one billion, three hundred forty-three million, seven hundred ninety-eight thousand, four hundred".