133410317040 has 1440 divisors, whose sum is σ = 626996298240. Its totient is φ = 24656486400.

The previous prime is 133410317039. The next prime is 133410317063. The reversal of 133410317040 is 40713014331.

133410317040 = 21046² + 21047² + ... + 21342².

133410317040 is a `hidden beast` number, since 1 + 3 + 341 + 0 + 317 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133410316995 and 133410317013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 271711195 + ... + 271711685.

It is an arithmetic number, because the mean of its divisors is an integer number (435414096).

Almost surely, 2^133410317040 is an apocalyptic number.

133410317040 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 133410317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313498149120).

133410317040 is an abundant number, since it is smaller than the sum of its proper divisors (493585981200).

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

133410317040 is a wasteful number, since it uses less digits than its factorization.

133410317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 133410317040 in words is "one hundred thirty-three billion, four hundred ten million, three hundred seventeen thousand, forty".