214211434434400 has 72 divisors (see below), whose sum is σ = 563170100056704. Its totient is φ = 79093452710400.

The previous prime is 214211434434341. The next prime is 214211434434401. The reversal of 214211434434400 is 4434434112412.

It is a self number, because there is not a number n which added to its sum of digits gives 214211434434400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211434434401) 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, 10298616256 + ... + 10298637055.

It is an arithmetic number, because the mean of its divisors is an integer number (7821806945232).

Almost surely, 2^{214211434434400} is an apocalyptic number.

214211434434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211434434400 is an abundant number, since it is smaller than the sum of its proper divisors (348958665622304).

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

214211434434400 is a wasteful number, since it uses less digits than its factorization.

214211434434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20597253344 (or 20597253331 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 214211434434400 its reverse (4434434112412), we get a palindrome (218645868546812).

The spelling of 214211434434400 in words is "two hundred fourteen trillion, two hundred eleven billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred".