3133444330440 has 128 divisors (see below), whose sum is σ = 10445986108800. Its totient is φ = 835491421440.

The previous prime is 3133444330417. The next prime is 3133444330463. The reversal of 3133444330440 is 440334443313.

3133444330440 is a `hidden beast` number, since 3 + 1 + 3 + 344 + 4 + 3 + 304 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3133444330417) and next prime (3133444330463).

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 = 3133444330395 and 3133444330404.

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, 9748695 + ... + 10064985.

It is an arithmetic number, because the mean of its divisors is an integer number (81609266475).

Almost surely, 2^{3133444330440} is an apocalyptic number.

3133444330440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133444330440 is an abundant number, since it is smaller than the sum of its proper divisors (7312541778360).

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

3133444330440 is a wasteful number, since it uses less digits than its factorization.

3133444330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325484 (or 325474 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 3133444330440 its reverse (440334443313), we get a palindrome (3573778773753).

The spelling of 3133444330440 in words is "three trillion, one hundred thirty-three billion, four hundred forty-four million, three hundred thirty thousand, four hundred forty".