434123021200 has 120 divisors (see below), whose sum is σ = 1159265462976. Its totient is φ = 154884288000.

The previous prime is 434123021177. The next prime is 434123021221. The reversal of 434123021200 is 2120321434.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697596 + ... + 1163995.

Almost surely, 2^434123021200 is an apocalyptic number.

434123021200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434123021200 is an abundant number, since it is smaller than the sum of its proper divisors (725142441776).

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

434123021200 is a wasteful number, since it uses less digits than its factorization.

434123021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861673 (or 1861662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 434123021200 its reverse (2120321434), we get a palindrome (436243342634).

The spelling of 434123021200 in words is "four hundred thirty-four billion, one hundred twenty-three million, twenty-one thousand, two hundred".