1133527244640 has 384 divisors, whose sum is σ = 4132628398080. Its totient is φ = 255809968128.

The previous prime is 1133527244627. The next prime is 1133527244671. The reversal of 1133527244640 is 464427253311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1133527244592 and 1133527244601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120085041 + ... + 120094479.

It is an arithmetic number, because the mean of its divisors is an integer number (10762053120).

Almost surely, 2^{1133527244640} is an apocalyptic number.

1133527244640 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 1133527244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066314199040).

1133527244640 is an abundant number, since it is smaller than the sum of its proper divisors (2999101153440).

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

1133527244640 is a wasteful number, since it uses less digits than its factorization.

1133527244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 1133527244640 in words is "one trillion, one hundred thirty-three billion, five hundred twenty-seven million, two hundred forty-four thousand, six hundred forty".