3320667461040 has 160 divisors (see below), whose sum is σ = 10456457743872. Its totient is φ = 871584000000.

The previous prime is 3320667461021. The next prime is 3320667461047. The reversal of 3320667461040 is 401647660233.

It is a super-2 number, since 2×3320667461040² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3320667460983 and 3320667461001.

It is not an unprimeable number, because it can be changed into a prime (3320667461047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10078915 + ... + 10403165.

Almost surely, 2^{3320667461040} is an apocalyptic number.

3320667461040 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 3320667461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228228871936).

3320667461040 is an abundant number, since it is smaller than the sum of its proper divisors (7135790282832).

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

3320667461040 is a wasteful number, since it uses less digits than its factorization.

3320667461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324939 (or 324933 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 3320667461040 in words is "three trillion, three hundred twenty billion, six hundred sixty-seven million, four hundred sixty-one thousand, forty".