434172000000 has 504 divisors, whose sum is σ = 1463197833328. Its totient is φ = 114278400000.

The previous prime is 434171999951. The next prime is 434172000007. The reversal of 434172000000 is 271434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434172000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1163999814 + ... + 1164000186.

Almost surely, 2^434172000000 is an apocalyptic number.

434172000000 is a gapful number since it is divisible by the number (40) 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 434172000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731598916664).

434172000000 is an abundant number, since it is smaller than the sum of its proper divisors (1029025833328).

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

434172000000 is an frugal number, since it uses more digits than its factorization.

434172000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 434172000000 its reverse (271434), we get a palindrome (434172271434).

The spelling of 434172000000 in words is "four hundred thirty-four billion, one hundred seventy-two million", and thus it is an aban number.