1140212196288 has 896 divisors, whose sum is σ = 4014991411200. Its totient is φ = 313373491200.

The previous prime is 1140212196281. The next prime is 1140212196301. The reversal of 1140212196288 is 8826912120411.

1140212196288 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 1 + 2 + 19 + 628 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140212196281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1179122781 + ... + 1179123747.

It is an arithmetic number, because the mean of its divisors is an integer number (4481017200).

Almost surely, 2^{1140212196288} is an apocalyptic number.

1140212196288 is a gapful number since it is divisible by the number (18) 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 1140212196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007495705600).

1140212196288 is an abundant number, since it is smaller than the sum of its proper divisors (2874779214912).

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

1140212196288 is a wasteful number, since it uses less digits than its factorization.

1140212196288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1140212196288 in words is "one trillion, one hundred forty billion, two hundred twelve million, one hundred ninety-six thousand, two hundred eighty-eight".