3412400004400 has 60 divisors (see below), whose sum is σ = 8398249368264. Its totient is φ = 1331668288000.

The previous prime is 3412400004367. The next prime is 3412400004443. The reversal of 3412400004400 is 44000042143.

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, 104020186 + ... + 104052985.

Almost surely, 2^{3412400004400} is an apocalyptic number.

It is an amenable number.

3412400004400 is an abundant number, since it is smaller than the sum of its proper divisors (4985849363864).

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

3412400004400 is a wasteful number, since it uses less digits than its factorization.

3412400004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208073230 (or 208073219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 3412400004400 its reverse (44000042143), we get a palindrome (3456400046543).

The spelling of 3412400004400 in words is "three trillion, four hundred twelve billion, four hundred million, four thousand, four hundred".