1141303996800 has 960 divisors, whose sum is σ = 4609083861360. Its totient is φ = 275805388800.

The previous prime is 1141303996753. The next prime is 1141303996817. The reversal of 1141303996800 is 86993031411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1141303996800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1747785274 + ... + 1747785926.

Almost surely, 2^{1141303996800} is an apocalyptic number.

1141303996800 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 1141303996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304541930680).

1141303996800 is an abundant number, since it is smaller than the sum of its proper divisors (3467779864560).

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

1141303996800 is a wasteful number, since it uses less digits than its factorization.

1141303996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1141303996800 in words is "one trillion, one hundred forty-one billion, three hundred three million, nine hundred ninety-six thousand, eight hundred".