331041921408 has 384 divisors, whose sum is σ = 1082306332800. Its totient is φ = 99533491200.

The previous prime is 331041921341. The next prime is 331041921433. The reversal of 331041921408 is 804129140133.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54778035 + ... + 54784077.

It is an arithmetic number, because the mean of its divisors is an integer number (2818506075).

Almost surely, 2^331041921408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331041921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541153166400).

331041921408 is an abundant number, since it is smaller than the sum of its proper divisors (751264411392).

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

331041921408 is a wasteful number, since it uses less digits than its factorization.

331041921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 331041921408 in words is "three hundred thirty-one billion, forty-one million, nine hundred twenty-one thousand, four hundred eight".