4293429317520 has 1280 divisors, whose sum is σ = 17110523904000. Its totient is φ = 886658088960.

The previous prime is 4293429317491. The next prime is 4293429317549. The reversal of 4293429317520 is 257139243924.

4293429317520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4293429317491) and next prime (4293429317549).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3539512434 + ... + 3539513646.

It is an arithmetic number, because the mean of its divisors is an integer number (13367596800).

Almost surely, 2^{4293429317520} is an apocalyptic number.

4293429317520 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 4293429317520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555261952000).

4293429317520 is an abundant number, since it is smaller than the sum of its proper divisors (12817094586480).

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

4293429317520 is a wasteful number, since it uses less digits than its factorization.

4293429317520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 4293429317520 in words is "four trillion, two hundred ninety-three billion, four hundred twenty-nine million, three hundred seventeen thousand, five hundred twenty".