330442043144040 has 160 divisors (see below), whose sum is σ = 1140670056251880. Its totient is φ = 85736313865728.

The previous prime is 330442043144029. The next prime is 330442043144051. The reversal of 330442043144040 is 40441340244033.

330442043144040 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 4 + 204 + 3 + 1 + 440 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (330442043144029) and next prime (330442043144051).

It can be written as a sum of positive squares in 4 ways, for example, as 330390023569956 + 52019574084 = 18176634^2 + 228078^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 330442043143986 and 330442043144004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378100187 + ... + 1378339946.

Almost surely, 2^{330442043144040} is an apocalyptic number.

330442043144040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330442043144040 is an abundant number, since it is smaller than the sum of its proper divisors (810228013107840).

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

330442043144040 is a wasteful number, since it uses less digits than its factorization.

330442043144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756440193 (or 2756440180 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 330442043144040 its reverse (40441340244033), we get a palindrome (370883383388073).

The spelling of 330442043144040 in words is "three hundred thirty trillion, four hundred forty-two billion, forty-three million, one hundred forty-four thousand, forty".