3405656762440 has 128 divisors (see below), whose sum is σ = 8103838464000. Its totient is φ = 1284528326400.

The previous prime is 3405656762419. The next prime is 3405656762479. The reversal of 3405656762440 is 442676565043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155704705 + ... + 155726575.

It is an arithmetic number, because the mean of its divisors is an integer number (63311238000).

Almost surely, 2^{3405656762440} 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 3405656762440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051919232000).

3405656762440 is an abundant number, since it is smaller than the sum of its proper divisors (4698181701560).

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

3405656762440 is a wasteful number, since it uses less digits than its factorization.

3405656762440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22851 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 3405656762440 in words is "three trillion, four hundred five billion, six hundred fifty-six million, seven hundred sixty-two thousand, four hundred forty".