133343433347040 has 768 divisors, whose sum is σ = 552120236236800. Its totient is φ = 29408620437504.

The previous prime is 133343433346999. The next prime is 133343433347053. The reversal of 133343433347040 is 40743334343331.

133343433347040 is a `hidden beast` number, since 1 + 3 + 33 + 43 + 43 + 33 + 470 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1388179654 + ... + 1388275706.

It is an arithmetic number, because the mean of its divisors is an integer number (718906557600).

Almost surely, 2^{133343433347040} is an apocalyptic number.

133343433347040 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 133343433347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276060118118400).

133343433347040 is an abundant number, since it is smaller than the sum of its proper divisors (418776802889760).

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

133343433347040 is a wasteful number, since it uses less digits than its factorization.

133343433347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97696 (or 97682 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 45.

The spelling of 133343433347040 in words is "one hundred thirty-three trillion, three hundred forty-three billion, four hundred thirty-three million, three hundred forty-seven thousand, forty".