429752494080 has 3072 divisors, whose sum is σ = 2113413120000. Its totient is φ = 80263249920.

The previous prime is 429752494069. The next prime is 429752494141. The reversal of 429752494080 is 80494257924.

It is a happy number.

429752494080 is a `hidden beast` number, since 4 + 2 + 9 + 75 + 2 + 494 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13862983665 + ... + 13862983695.

It is an arithmetic number, because the mean of its divisors is an integer number (687960000).

Almost surely, 2^429752494080 is an apocalyptic number.

429752494080 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 429752494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560000).

429752494080 is an abundant number, since it is smaller than the sum of its proper divisors (1683660625920).

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

429752494080 is a wasteful number, since it uses less digits than its factorization.

429752494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 429752494080 in words is "four hundred twenty-nine billion, seven hundred fifty-two million, four hundred ninety-four thousand, eighty".