431229461040 has 320 divisors, whose sum is σ = 1698277969920. Its totient is φ = 98523786240.

The previous prime is 431229461021. The next prime is 431229461171. The reversal of 431229461040 is 40164922134.

431229461040 is a `hidden beast` number, since 4 + 3 + 12 + 29 + 4 + 610 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 431229460986 and 431229461004.

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 63 ways as a sum of consecutive naturals, for example, 45914745 + ... + 45924135.

It is an arithmetic number, because the mean of its divisors is an integer number (5307118656).

Almost surely, 2^431229461040 is an apocalyptic number.

431229461040 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 431229461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849138984960).

431229461040 is an abundant number, since it is smaller than the sum of its proper divisors (1267048508880).

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

431229461040 is a wasteful number, since it uses less digits than its factorization.

431229461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12457 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 431229461040 in words is "four hundred thirty-one billion, two hundred twenty-nine million, four hundred sixty-one thousand, forty".