331540454160 has 640 divisors, whose sum is σ = 1218093465600. Its totient is φ = 82748252160.

The previous prime is 331540454087. The next prime is 331540454171. The reversal of 331540454160 is 61454045133.

331540454160 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 40 + 454 + 160 = 666.

It is a super-2 number, since 2×331540454160² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325358131 + ... + 325359149.

It is an arithmetic number, because the mean of its divisors is an integer number (1903271040).

Almost surely, 2^331540454160 is an apocalyptic number.

331540454160 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 331540454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609046732800).

331540454160 is an abundant number, since it is smaller than the sum of its proper divisors (886553011440).

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

331540454160 is a wasteful number, since it uses less digits than its factorization.

331540454160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 331540454160 its reverse (61454045133), we get a palindrome (392994499293).

The spelling of 331540454160 in words is "three hundred thirty-one billion, five hundred forty million, four hundred fifty-four thousand, one hundred sixty".