330431200000040 has 128 divisors (see below), whose sum is σ = 769144898592000. Its totient is φ = 127703046248448.

The previous prime is 330431200000003. The next prime is 330431200000067. The reversal of 330431200000040 is 40000002134033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330431199999958 and 330431200000021.

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, 30366554 + ... + 39786806.

It is an arithmetic number, because the mean of its divisors is an integer number (6008944520250).

Almost surely, 2^{330431200000040} 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 330431200000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384572449296000).

330431200000040 is an abundant number, since it is smaller than the sum of its proper divisors (438713698591960).

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

330431200000040 is a wasteful number, since it uses less digits than its factorization.

330431200000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420579 (or 9420575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 330431200000040 its reverse (40000002134033), we get a palindrome (370431202134073).

The spelling of 330431200000040 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred million, forty", and thus it is an aban number.