1133022401280 has 1440 divisors, whose sum is σ = 5081499118080. Its totient is φ = 234180771840.

The previous prime is 1133022401209. The next prime is 1133022401281. The reversal of 1133022401280 is 821042203311.

1133022401280 is a `hidden beast` number, since 1 + 1 + 330 + 2 + 240 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1133022401281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2770225716 + ... + 2770226124.

It is an arithmetic number, because the mean of its divisors is an integer number (3528818832).

Almost surely, 2^{1133022401280} is an apocalyptic number.

1133022401280 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 1133022401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540749559040).

1133022401280 is an abundant number, since it is smaller than the sum of its proper divisors (3948476716800).

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

1133022401280 is a wasteful number, since it uses less digits than its factorization.

1133022401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1133022401280 its reverse (821042203311), we get a palindrome (1954064604591).

The spelling of 1133022401280 in words is "one trillion, one hundred thirty-three billion, twenty-two million, four hundred one thousand, two hundred eighty".