3362051440440 has 256 divisors, whose sum is σ = 13972162176000. Its totient is φ = 698608074240.

The previous prime is 3362051440403. The next prime is 3362051440453. The reversal of 3362051440440 is 440441502633.

3362051440440 is a `hidden beast` number, since 3 + 3 + 6 + 205 + 1 + 4 + 4 + 0 + 440 = 666.

It is a super-2 number, since 2×3362051440440² (a number of 26 digits) contains 22 as substring.

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 = 3362051440395 and 3362051440404.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20131195 + ... + 20297514.

It is an arithmetic number, because the mean of its divisors is an integer number (54578758500).

Almost surely, 2^{3362051440440} is an apocalyptic number.

3362051440440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3362051440440 is an abundant number, since it is smaller than the sum of its proper divisors (10610110735560).

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

3362051440440 is a wasteful number, since it uses less digits than its factorization.

3362051440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40428747 (or 40428737 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3362051440440 in words is "three trillion, three hundred sixty-two billion, fifty-one million, four hundred forty thousand, four hundred forty".