214011342400 has 84 divisors (see below), whose sum is σ = 527313339072. Its totient is φ = 85488847360.

The previous prime is 214011342371. The next prime is 214011342401. The reversal of 214011342400 is 4243110412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214011342401) 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, 1098789 + ... + 1278811.

Almost surely, 2^214011342400 is an apocalyptic number.

214011342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214011342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263656669536).

214011342400 is an abundant number, since it is smaller than the sum of its proper divisors (313301996672).

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

214011342400 is a wasteful number, since it uses less digits than its factorization.

214011342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180788 (or 180773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 214011342400 its reverse (4243110412), we get a palindrome (218254452812).

The spelling of 214011342400 in words is "two hundred fourteen billion, eleven million, three hundred forty-two thousand, four hundred".