3412014402400 has 72 divisors (see below), whose sum is σ = 8329973488200. Its totient is φ = 1364741314560.

The previous prime is 3412014402361. The next prime is 3412014402431. The reversal of 3412014402400 is 42044102143.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19150527 + ... + 19327873.

It is an arithmetic number, because the mean of its divisors is an integer number (115694076225).

Almost surely, 2^{3412014402400} is an apocalyptic number.

It is an amenable number.

3412014402400 is an abundant number, since it is smaller than the sum of its proper divisors (4917959085800).

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

3412014402400 is a wasteful number, since it uses less digits than its factorization.

3412014402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201416 (or 201403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3412014402400 its reverse (42044102143), we get a palindrome (3454058504543).

The spelling of 3412014402400 in words is "three trillion, four hundred twelve billion, fourteen million, four hundred two thousand, four hundred".