214411404003400 has 48 divisors (see below), whose sum is σ = 499616774014500. Its totient is φ = 85573549178880.

The previous prime is 214411404003397. The next prime is 214411404003403. The reversal of 214411404003400 is 4300404114412.

It is an interprime number because it is at equal distance from previous prime (214411404003397) and next prime (214411404003403).

It can be written as a sum of positive squares in 6 ways, for example, as 153685261884196 + 60726142119204 = 12396986^2 + 7792698^2 .

It is not an unprimeable number, because it can be changed into a prime (214411404003403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1193737617 + ... + 1193917216.

Almost surely, 2^{214411404003400} is an apocalyptic number.

214411404003400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214411404003400 is an abundant number, since it is smaller than the sum of its proper divisors (285205370011100).

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

214411404003400 is a wasteful number, since it uses less digits than its factorization.

214411404003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387655298 (or 2387655289 counting only the distinct ones).

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

Adding to 214411404003400 its reverse (4300404114412), we get a palindrome (218711808117812).

The spelling of 214411404003400 in words is "two hundred fourteen trillion, four hundred eleven billion, four hundred four million, three thousand, four hundred".