1141200214440 has 512 divisors, whose sum is σ = 4055750092800. Its totient is φ = 253249597440.

The previous prime is 1141200214397. The next prime is 1141200214487. The reversal of 1141200214440 is 444120021411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1141200214440.

It is an unprimeable number.

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, 1476325894 + ... + 1476326666.

It is an arithmetic number, because the mean of its divisors is an integer number (7921386900).

Almost surely, 2^{1141200214440} is an apocalyptic number.

1141200214440 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 1141200214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027875046400).

1141200214440 is an abundant number, since it is smaller than the sum of its proper divisors (2914549878360).

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

1141200214440 is a wasteful number, since it uses less digits than its factorization.

1141200214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1141200214440 its reverse (444120021411), we get a palindrome (1585320235851).

The spelling of 1141200214440 in words is "one trillion, one hundred forty-one billion, two hundred million, two hundred fourteen thousand, four hundred forty".