1214434414000 has 80 divisors (see below), whose sum is σ = 2936779578720. Its totient is φ = 485727916800.

The previous prime is 1214434413991. The next prime is 1214434414031. The reversal of 1214434414000 is 4144344121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1214434414000.

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, 28036359 + ... + 28079641.

It is an arithmetic number, because the mean of its divisors is an integer number (36709744734).

Almost surely, 2^{1214434414000} is an apocalyptic number.

1214434414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214434414000 is an abundant number, since it is smaller than the sum of its proper divisors (1722345164720).

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

1214434414000 is a wasteful number, since it uses less digits than its factorization.

1214434414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57335 (or 57319 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1214434414000 its reverse (4144344121), we get a palindrome (1218578758121).

The spelling of 1214434414000 in words is "one trillion, two hundred fourteen billion, four hundred thirty-four million, four hundred fourteen thousand".