434200988160 has 640 divisors, whose sum is σ = 1576356249600. Its totient is φ = 113261690880.

The previous prime is 434200988141. The next prime is 434200988161. The reversal of 434200988160 is 61889002434.

It is a happy number.

434200988160 is a `hidden beast` number, since 4 + 3 + 420 + 0 + 98 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (434200988161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715322577 + ... + 715323183.

It is an arithmetic number, because the mean of its divisors is an integer number (2463056640).

Almost surely, 2^434200988160 is an apocalyptic number.

434200988160 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 434200988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788178124800).

434200988160 is an abundant number, since it is smaller than the sum of its proper divisors (1142155261440).

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

434200988160 is a wasteful number, since it uses less digits than its factorization.

434200988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 434200988160 in words is "four hundred thirty-four billion, two hundred million, nine hundred eighty-eight thousand, one hundred sixty".