3319042582440 has 192 divisors, whose sum is σ = 11617648333200. Its totient is φ = 816924819456.

The previous prime is 3319042582421. The next prime is 3319042582477. The reversal of 3319042582440 is 442852409133.

3319042582440 is a `hidden beast` number, since 3 + 3 + 1 + 90 + 42 + 5 + 82 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2112819230916 + 1206223351524 = 1453554^2 + 1098282^2 .

It is a super-2 number, since 2×3319042582440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73121032 + ... + 73166408.

Almost surely, 2^{3319042582440} is an apocalyptic number.

3319042582440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3319042582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808824166600).

3319042582440 is an abundant number, since it is smaller than the sum of its proper divisors (8298605750760).

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

3319042582440 is a wasteful number, since it uses less digits than its factorization.

3319042582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61036 (or 61029 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3319042582440 in words is "three trillion, three hundred nineteen billion, forty-two million, five hundred eighty-two thousand, four hundred forty".