3133405967040 has 336 divisors, whose sum is σ = 11136214252800. Its totient is φ = 807825899520.

The previous prime is 3133405967017. The next prime is 3133405967047. The reversal of 3133405967040 is 407695043313.

3133405967040 is a `hidden beast` number, since 3 + 13 + 3 + 4 + 0 + 596 + 7 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3133405967047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93637992 + ... + 93671448.

It is an arithmetic number, because the mean of its divisors is an integer number (33143494800).

Almost surely, 2^{3133405967040} is an apocalyptic number.

3133405967040 is a gapful number since it is divisible by the number (30) 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 3133405967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568107126400).

3133405967040 is an abundant number, since it is smaller than the sum of its proper divisors (8002808285760).

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

3133405967040 is a wasteful number, since it uses less digits than its factorization.

3133405967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34560 (or 34547 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3133405967040 in words is "three trillion, one hundred thirty-three billion, four hundred five million, nine hundred sixty-seven thousand, forty".