331187442647040 has 2560 divisors, whose sum is σ = 1429940565504000. Its totient is φ = 73226838343680.

The previous prime is 331187442647027. The next prime is 331187442647041. The reversal of 331187442647040 is 40746244781133.

331187442647040 is a `hidden beast` number, since 3 + 3 + 11 + 87 + 4 + 42 + 6 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331187442647041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141110967147 + ... + 141110969493.

It is an arithmetic number, because the mean of its divisors is an integer number (558570533400).

Almost surely, 2^{331187442647040} is an apocalyptic number.

331187442647040 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 331187442647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714970282752000).

331187442647040 is an abundant number, since it is smaller than the sum of its proper divisors (1098753122856960).

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

331187442647040 is an frugal number, since it uses more digits than its factorization.

331187442647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 331187442647040 in words is "three hundred thirty-one trillion, one hundred eighty-seven billion, four hundred forty-two million, six hundred forty-seven thousand, forty".