429975748020 has 1536 divisors, whose sum is σ = 1732348477440. Its totient is φ = 77078200320.

The previous prime is 429975747967. The next prime is 429975748067. The reversal of 429975748020 is 20847579924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4831188136 + ... + 4831188224.

It is an arithmetic number, because the mean of its divisors is an integer number (1127831040).

Almost surely, 2^429975748020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429975748020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866174238720).

429975748020 is an abundant number, since it is smaller than the sum of its proper divisors (1302372729420).

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

429975748020 is a wasteful number, since it uses less digits than its factorization.

429975748020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 429975748020 in words is "four hundred twenty-nine billion, nine hundred seventy-five million, seven hundred forty-eight thousand, twenty".