214033234323400 has 48 divisors (see below), whose sum is σ = 513679762391040. Its totient is φ = 82851574574400.

The previous prime is 214033234323329. The next prime is 214033234323409. The reversal of 214033234323400 is 4323432330412.

It is not an unprimeable number, because it can be changed into a prime (214033234323409) 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, 17260738504 + ... + 17260750903.

It is an arithmetic number, because the mean of its divisors is an integer number (10701661716480).

Almost surely, 2^{214033234323400} is an apocalyptic number.

214033234323400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033234323400 is an abundant number, since it is smaller than the sum of its proper divisors (299646528067640).

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

214033234323400 is a wasteful number, since it uses less digits than its factorization.

214033234323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34521489454 (or 34521489445 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 214033234323400 its reverse (4323432330412), we get a palindrome (218356666653812).

The spelling of 214033234323400 in words is "two hundred fourteen trillion, thirty-three billion, two hundred thirty-four million, three hundred twenty-three thousand, four hundred".