3318561671040 has 2048 divisors, whose sum is σ = 15014191104000. Its totient is φ = 672841728000.

The previous prime is 3318561671027. The next prime is 3318561671041. The reversal of 3318561671040 is 401761658133.

3318561671040 is a `hidden beast` number, since 3 + 3 + 18 + 5 + 616 + 7 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×3318561671040² (a number of 26 digits) contains 22 as substring.

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 (3318561671041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13769965320 + ... + 13769965560.

It is an arithmetic number, because the mean of its divisors is an integer number (7331148000).

Almost surely, 2^{3318561671040} is an apocalyptic number.

3318561671040 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 3318561671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507095552000).

3318561671040 is an abundant number, since it is smaller than the sum of its proper divisors (11695629432960).

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

3318561671040 is a wasteful number, since it uses less digits than its factorization.

3318561671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3318561671040 in words is "three trillion, three hundred eighteen billion, five hundred sixty-one million, six hundred seventy-one thousand, forty".