1141792819200 has 864 divisors, whose sum is σ = 4512803349600. Its totient is φ = 273580032000.

The previous prime is 1141792819169. The next prime is 1141792819201. The reversal of 1141792819200 is 29182971411.

1141792819200 is a `hidden beast` number, since 1 + 1 + 417 + 9 + 28 + 1 + 9 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1141792819201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451121935 + ... + 451124465.

It is an arithmetic number, because the mean of its divisors is an integer number (5223152025).

Almost surely, 2^{1141792819200} is an apocalyptic number.

1141792819200 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 1141792819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256401674800).

1141792819200 is an abundant number, since it is smaller than the sum of its proper divisors (3371010530400).

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

1141792819200 is a wasteful number, since it uses less digits than its factorization.

1141792819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1141792819200 in words is "one trillion, one hundred forty-one billion, seven hundred ninety-two million, eight hundred nineteen thousand, two hundred".