3420414164440 has 128 divisors (see below), whose sum is σ = 9472828176000. Its totient is φ = 1082400473088.

The previous prime is 3420414164407. The next prime is 3420414164449. The reversal of 3420414164440 is 444614140243.

It is a self number, because there is not a number n which added to its sum of digits gives 3420414164440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420414164449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43527906 + ... + 43606414.

It is an arithmetic number, because the mean of its divisors is an integer number (74006470125).

Almost surely, 2^{3420414164440} is an apocalyptic number.

It is an amenable number.

3420414164440 is an abundant number, since it is smaller than the sum of its proper divisors (6052414011560).

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

3420414164440 is a wasteful number, since it uses less digits than its factorization.

3420414164440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90509 (or 90505 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 3420414164440 in words is "three trillion, four hundred twenty billion, four hundred fourteen million, one hundred sixty-four thousand, four hundred forty".