331034011103040 has 336 divisors, whose sum is σ = 1222665291755712. Its totient is φ = 75662745575424.

The previous prime is 331034011103011. The next prime is 331034011103101. The reversal of 331034011103040 is 40301110430133.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 331034011103040.

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, 2106231499 + ... + 2106388661.

It is an arithmetic number, because the mean of its divisors is an integer number (3638884796892).

Almost surely, 2^{331034011103040} is an apocalyptic number.

331034011103040 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 331034011103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611332645877856).

331034011103040 is an abundant number, since it is smaller than the sum of its proper divisors (891631280652672).

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

331034011103040 is a wasteful number, since it uses less digits than its factorization.

331034011103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201974 (or 201957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331034011103040 its reverse (40301110430133), we get a palindrome (371335121533173).

The spelling of 331034011103040 in words is "three hundred thirty-one trillion, thirty-four billion, eleven million, one hundred three thousand, forty".