3414805641024 has 448 divisors, whose sum is σ = 9864841271040. Its totient is φ = 1039892152320.

The previous prime is 3414805640993. The next prime is 3414805641031. The reversal of 3414805641024 is 4201465084143.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4417600702 + ... + 4417601474.

It is an arithmetic number, because the mean of its divisors is an integer number (22019734980).

Almost surely, 2^{3414805641024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414805641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932420635520).

3414805641024 is an abundant number, since it is smaller than the sum of its proper divisors (6450035630016).

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

3414805641024 is a wasteful number, since it uses less digits than its factorization.

3414805641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 3414805641024 in words is "three trillion, four hundred fourteen billion, eight hundred five million, six hundred forty-one thousand, twenty-four".