3414002400432 has 120 divisors (see below), whose sum is σ = 10289930378000. Its totient is φ = 1050410571264.

The previous prime is 3414002400407. The next prime is 3414002400451. The reversal of 3414002400432 is 2340042004143.

It is a happy number.

3414002400432 is a `hidden beast` number, since 3 + 414 + 0 + 0 + 240 + 0 + 4 + 3 + 2 = 666.

3414002400432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3414002400396 and 3414002400405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58131819 + ... + 58190517.

Almost surely, 2^{3414002400432} is an apocalyptic number.

It is an amenable number.

3414002400432 is an abundant number, since it is smaller than the sum of its proper divisors (6875927977568).

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

3414002400432 is a wasteful number, since it uses less digits than its factorization.

3414002400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89795 (or 89786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3414002400432 its reverse (2340042004143), we get a palindrome (5754044404575).

The spelling of 3414002400432 in words is "three trillion, four hundred fourteen billion, two million, four hundred thousand, four hundred thirty-two".