429925243440 has 480 divisors, whose sum is σ = 1745879685120. Its totient is φ = 86452531200.

The previous prime is 429925243421. The next prime is 429925243453. The reversal of 429925243440 is 44342529924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 429925243440.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3956556 + ... + 4063764.

It is an arithmetic number, because the mean of its divisors is an integer number (3637249344).

Almost surely, 2^429925243440 is an apocalyptic number.

429925243440 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 429925243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872939842560).

429925243440 is an abundant number, since it is smaller than the sum of its proper divisors (1315954441680).

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

429925243440 is a wasteful number, since it uses less digits than its factorization.

429925243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107281 (or 107268 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 429925243440 in words is "four hundred twenty-nine billion, nine hundred twenty-five million, two hundred forty-three thousand, four hundred forty".