330031013240040 has 192 divisors, whose sum is σ = 1202011125724800. Its totient is φ = 70998268342272.

The previous prime is 330031013239981. The next prime is 330031013240053. The reversal of 330031013240040 is 40042310130033.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679504755 + ... + 679990274.

It is an arithmetic number, because the mean of its divisors is an integer number (6260474613150).

Almost surely, 2^{330031013240040} is an apocalyptic number.

330031013240040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330031013240040 is an abundant number, since it is smaller than the sum of its proper divisors (871980112484760).

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

330031013240040 is a wasteful number, since it uses less digits than its factorization.

330031013240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359495084 (or 1359495063 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330031013240040 its reverse (40042310130033), we get a palindrome (370073323370073).

The spelling of 330031013240040 in words is "three hundred thirty trillion, thirty-one billion, thirteen million, two hundred forty thousand, forty".