1140226419456 has 432 divisors, whose sum is σ = 3475138028544. Its totient is φ = 372789153792.

The previous prime is 1140226419433. The next prime is 1140226419487. The reversal of 1140226419456 is 6549146220411.

1140226419456 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 226 + 419 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321235281 + ... + 1321236143.

It is an arithmetic number, because the mean of its divisors is an integer number (8044300992).

Almost surely, 2^{1140226419456} is an apocalyptic number.

1140226419456 is a gapful number since it is divisible by the number (16) 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 1140226419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737569014272).

1140226419456 is an abundant number, since it is smaller than the sum of its proper divisors (2334911609088).

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

1140226419456 is an frugal number, since it uses more digits than its factorization.

1140226419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1140226419456 in words is "one trillion, one hundred forty billion, two hundred twenty-six million, four hundred nineteen thousand, four hundred fifty-six".