429623940480 has 768 divisors, whose sum is σ = 1669877544960. Its totient is φ = 93501112320.

The previous prime is 429623940463. The next prime is 429623940491. The reversal of 429623940480 is 84049326924.

It is a congruent number.

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, 794129010 + ... + 794129550.

It is an arithmetic number, because the mean of its divisors is an integer number (2174319720).

Almost surely, 2^429623940480 is an apocalyptic number.

429623940480 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 429623940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834938772480).

429623940480 is an abundant number, since it is smaller than the sum of its proper divisors (1240253604480).

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

429623940480 is a wasteful number, since it uses less digits than its factorization.

429623940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 429623940480 in words is "four hundred twenty-nine billion, six hundred twenty-three million, nine hundred forty thousand, four hundred eighty".