331345640066400 has 1728 divisors, whose sum is σ = 1311023705112576. Its totient is φ = 81422744832000.

The previous prime is 331345640066381. The next prime is 331345640066401. The reversal of 331345640066400 is 4660046543133.

331345640066400 is a `hidden beast` number, since 3 + 3 + 134 + 56 + 4 + 0 + 0 + 66 + 400 = 666.

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 (331345640066401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31463829135 + ... + 31463839665.

It is an arithmetic number, because the mean of its divisors is an integer number (758694273792).

Almost surely, 2^{331345640066400} is an apocalyptic number.

331345640066400 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 331345640066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655511852556288).

331345640066400 is an abundant number, since it is smaller than the sum of its proper divisors (979678065046176).

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

331345640066400 is a wasteful number, since it uses less digits than its factorization.

331345640066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10847 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 331345640066400 in words is "three hundred thirty-one trillion, three hundred forty-five billion, six hundred forty million, sixty-six thousand, four hundred".