1141082868480 has 288 divisors, whose sum is σ = 3787945378560. Its totient is φ = 292397629440.

The previous prime is 1141082868473. The next prime is 1141082868493. The reversal of 1141082868480 is 848682801411.

It is a happy number.

It is a super-2 number, since 2×1141082868480² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23472679 + ... + 23521241.

It is an arithmetic number, because the mean of its divisors is an integer number (13152588120).

Almost surely, 2^{1141082868480} is an apocalyptic number.

1141082868480 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 1141082868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893972689280).

1141082868480 is an abundant number, since it is smaller than the sum of its proper divisors (2646862510080).

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

1141082868480 is a wasteful number, since it uses less digits than its factorization.

1141082868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48827 (or 48813 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 1141082868480 in words is "one trillion, one hundred forty-one billion, eighty-two million, eight hundred sixty-eight thousand, four hundred eighty".