3401455440440 has 64 divisors (see below), whose sum is σ = 7904031904800. Its totient is φ = 1316413997568.

The previous prime is 3401455440407. The next prime is 3401455440463. The reversal of 3401455440440 is 440445541043.

3401455440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3401455440440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3401455440394 and 3401455440403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154859 + ... + 6684698.

Almost surely, 2^{3401455440440} is an apocalyptic number.

It is an amenable number.

3401455440440 is an abundant number, since it is smaller than the sum of its proper divisors (4502576464360).

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

3401455440440 is a wasteful number, since it uses less digits than its factorization.

3401455440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839784 (or 12839780 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

The spelling of 3401455440440 in words is "three trillion, four hundred one billion, four hundred fifty-five million, four hundred forty thousand, four hundred forty".