330240431400040 has 128 divisors (see below), whose sum is σ = 878595084057600. Its totient is φ = 109305663667200.

The previous prime is 330240431399981. The next prime is 330240431400067. The reversal of 330240431400040 is 40004134042033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 330240431399981 and 330240431400008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55222462 + ... + 60909778.

It is an arithmetic number, because the mean of its divisors is an integer number (6864024094200).

Almost surely, 2^{330240431400040} 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 330240431400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439297542028800).

330240431400040 is an abundant number, since it is smaller than the sum of its proper divisors (548354652657560).

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

330240431400040 is a wasteful number, since it uses less digits than its factorization.

330240431400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694515 (or 5694511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 330240431400040 its reverse (40004134042033), we get a palindrome (370244565442073).

The spelling of 330240431400040 in words is "three hundred thirty trillion, two hundred forty billion, four hundred thirty-one million, four hundred thousand, forty".