331439934672000 has 4096 divisors, whose sum is σ = 1628602619904000. Its totient is φ = 64168796160000.

The previous prime is 331439934671977. The next prime is 331439934672013. The reversal of 331439934672000 is 276439934133.

It is a happy number.

331439934672000 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 3 + 99 + 346 + 7 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38552971702 + ... + 38552980298.

It is an arithmetic number, because the mean of its divisors is an integer number (397608061500).

Almost surely, 2^{331439934672000} is an apocalyptic number.

331439934672000 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 331439934672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814301309952000).

331439934672000 is an abundant number, since it is smaller than the sum of its proper divisors (1297162685232000).

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

331439934672000 is a wasteful number, since it uses less digits than its factorization.

331439934672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 331439934672000 in words is "three hundred thirty-one trillion, four hundred thirty-nine billion, nine hundred thirty-four million, six hundred seventy-two thousand".