1133917424640 has 3168 divisors, whose sum is σ = 5565144379392. Its totient is φ = 207028224000.

The previous prime is 1133917424573. The next prime is 1133917424641. The reversal of 1133917424640 is 464247193311.

It is a happy number.

1133917424640 is a `hidden beast` number, since 1 + 1 + 33 + 91 + 74 + 2 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133917424641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18588810210 + ... + 18588810270.

Almost surely, 2^{1133917424640} is an apocalyptic number.

1133917424640 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 1133917424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782572189696).

1133917424640 is an abundant number, since it is smaller than the sum of its proper divisors (4431226954752).

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

1133917424640 is a wasteful number, since it uses less digits than its factorization.

1133917424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1133917424640 in words is "one trillion, one hundred thirty-three billion, nine hundred seventeen million, four hundred twenty-four thousand, six hundred forty".