1119865190400 has 432 divisors, whose sum is σ = 4375248794280. Its totient is φ = 271481241600.

The previous prime is 1119865190399. The next prime is 1119865190417. The reversal of 1119865190400 is 40915689111.

1119865190400 is a `hidden beast` number, since 1 + 1 + 1 + 98 + 6 + 519 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4958334 + ... + 5179266.

Almost surely, 2^{1119865190400} is an apocalyptic number.

1119865190400 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 1119865190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187624397140).

1119865190400 is an abundant number, since it is smaller than the sum of its proper divisors (3255383603880).

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

1119865190400 is a wasteful number, since it uses less digits than its factorization.

1119865190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220982 (or 220954 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1119865190400 in words is "one trillion, one hundred nineteen billion, eight hundred sixty-five million, one hundred ninety thousand, four hundred".