430376640144 has 160 divisors (see below), whose sum is σ = 1252493168640. Its totient is φ = 126160934400.

The previous prime is 430376640131. The next prime is 430376640151. The reversal of 430376640144 is 441046673034.

It is a junction number, because it is equal to n+sod(n) for n = 430376640096 and 430376640105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83097747 + ... + 83102925.

It is an arithmetic number, because the mean of its divisors is an integer number (7828082304).

Almost surely, 2^430376640144 is an apocalyptic number.

430376640144 is a gapful number since it is divisible by the number (44) 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 430376640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626246584320).

430376640144 is an abundant number, since it is smaller than the sum of its proper divisors (822116528496).

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

430376640144 is a wasteful number, since it uses less digits than its factorization.

430376640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 430376640144 in words is "four hundred thirty billion, three hundred seventy-six million, six hundred forty thousand, one hundred forty-four".