1140453821760 has 448 divisors, whose sum is σ = 4087148544000. Its totient is φ = 266924851200.

The previous prime is 1140453821747. The next prime is 1140453821803. The reversal of 1140453821760 is 671283540411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146980761 + ... + 146988519.

Almost surely, 2^{1140453821760} is an apocalyptic number.

1140453821760 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 1140453821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043574272000).

1140453821760 is an abundant number, since it is smaller than the sum of its proper divisors (2946694722240).

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

1140453821760 is a wasteful number, since it uses less digits than its factorization.

1140453821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1140453821760 in words is "one trillion, one hundred forty billion, four hundred fifty-three million, eight hundred twenty-one thousand, seven hundred sixty".