331242048000 has 1440 divisors, whose sum is σ = 1327938131520. Its totient is φ = 82263859200.

The previous prime is 331242047989. The next prime is 331242048029. The reversal of 331242048000 is 840242133.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5614271971 + ... + 5614272029.

It is an arithmetic number, because the mean of its divisors is an integer number (922179258).

Almost surely, 2^331242048000 is an apocalyptic number.

331242048000 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 331242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663969065760).

331242048000 is an abundant number, since it is smaller than the sum of its proper divisors (996696083520).

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

331242048000 is an frugal number, since it uses more digits than its factorization.

331242048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 331242048000 in words is "three hundred thirty-one billion, two hundred forty-two million, forty-eight thousand".