320671268375040 has 960 divisors, whose sum is σ = 1259145627772032. Its totient is φ = 77569096089600.

The previous prime is 320671268375023. The next prime is 320671268375047. The reversal of 320671268375040 is 40573862176023.

It is a happy number.

320671268375040 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 7 + 1 + 268 + 375 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×320671268375040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (320671268375047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3154516854 + ... + 3154618506.

Almost surely, 2^{320671268375040} is an apocalyptic number.

320671268375040 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 320671268375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629572813886016).

320671268375040 is an abundant number, since it is smaller than the sum of its proper divisors (938474359396992).

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

320671268375040 is a wasteful number, since it uses less digits than its factorization.

320671268375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102163 (or 102135 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 320671268375040 in words is "three hundred twenty trillion, six hundred seventy-one billion, two hundred sixty-eight million, three hundred seventy-five thousand, forty".