3412400011400 has 192 divisors, whose sum is σ = 8549543270400. Its totient is φ = 1262467503360.

The previous prime is 3412400011399. The next prime is 3412400011421. The reversal of 3412400011400 is 41100042143.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 546243077 + ... + 546249323.

It is an arithmetic number, because the mean of its divisors is an integer number (44528871200).

Almost surely, 2^{3412400011400} 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 3412400011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274771635200).

3412400011400 is an abundant number, since it is smaller than the sum of its proper divisors (5137143259000).

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

3412400011400 is a wasteful number, since it uses less digits than its factorization.

3412400011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3412400011400 its reverse (41100042143), we get a palindrome (3453500053543).

The spelling of 3412400011400 in words is "three trillion, four hundred twelve billion, four hundred million, eleven thousand, four hundred".