34213321214400 has 84 divisors (see below), whose sum is σ = 112248204699992. Its totient is φ = 9123552322560.

The previous prime is 34213321214353. The next prime is 34213321214419. The reversal of 34213321214400 is 441212331243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3563882827 + ... + 3563892426.

Almost surely, 2^{34213321214400} is an apocalyptic number.

34213321214400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34213321214400 is an abundant number, since it is smaller than the sum of its proper divisors (78034883485592).

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

34213321214400 is a wasteful number, since it uses less digits than its factorization.

34213321214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127775278 (or 7127775263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34213321214400 its reverse (441212331243), we get a palindrome (34654533545643).

The spelling of 34213321214400 in words is "thirty-four trillion, two hundred thirteen billion, three hundred twenty-one million, two hundred fourteen thousand, four hundred".