434054132000 has 384 divisors, whose sum is σ = 1149897228480. Its totient is φ = 160446873600.

The previous prime is 434054131997. The next prime is 434054132041. The reversal of 434054132000 is 231450434.

It can be written as a sum of positive squares in 32 ways, for example, as 79224235024 + 354829896976 = 281468^2 + 595676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163683814 + ... + 1163684186.

Almost surely, 2^434054132000 is an apocalyptic number.

434054132000 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 434054132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574948614240).

434054132000 is an abundant number, since it is smaller than the sum of its proper divisors (715843096480).

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

434054132000 is a wasteful number, since it uses less digits than its factorization.

434054132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 434054132000 its reverse (231450434), we get a palindrome (434285582434).

The spelling of 434054132000 in words is "four hundred thirty-four billion, fifty-four million, one hundred thirty-two thousand".