2705438411406 has 24 divisors (see below), whose sum is σ = 5864698163064. Its totient is φ = 901364351760.

The previous prime is 2705438411393. The next prime is 2705438411443. The reversal of 2705438411406 is 6041148345072.

2705438411406 is a `hidden beast` number, since 2 + 70 + 5 + 438 + 4 + 1 + 140 + 6 = 666.

It is a super-3 number, since 3×2705438411406³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37333801 + ... + 37406196.

It is an arithmetic number, because the mean of its divisors is an integer number (244362423461).

Almost surely, 2^{2705438411406} is an apocalyptic number.

2705438411406 is an abundant number, since it is smaller than the sum of its proper divisors (3159259751658).

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

2705438411406 is a wasteful number, since it uses less digits than its factorization.

2705438411406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74742016 (or 74742013 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2705438411406 in words is "two trillion, seven hundred five billion, four hundred thirty-eight million, four hundred eleven thousand, four hundred six".