1133406805440 has 1344 divisors, whose sum is σ = 4741622516736. Its totient is φ = 223303827456.

The previous prime is 1133406805397. The next prime is 1133406805441. The reversal of 1133406805440 is 445086043311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1133406805440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133406805441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2617567464 + ... + 2617567896.

It is an arithmetic number, because the mean of its divisors is an integer number (3527992944).

Almost surely, 2^{1133406805440} is an apocalyptic number.

1133406805440 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 1133406805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370811258368).

1133406805440 is an abundant number, since it is smaller than the sum of its proper divisors (3608215711296).

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

1133406805440 is a wasteful number, since it uses less digits than its factorization.

1133406805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1133406805440 in words is "one trillion, one hundred thirty-three billion, four hundred six million, eight hundred five thousand, four hundred forty".