429854135970336 has 1152 divisors, whose sum is σ = 1488749068025856. Its totient is φ = 106170704640000.

The previous prime is 429854135970269. The next prime is 429854135970353. The reversal of 429854135970336 is 633079531458924.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55658954571 + ... + 55658962293.

It is an arithmetic number, because the mean of its divisors is an integer number (1292316899328).

It is a 1-persistent number, because it is pandigital, but 2⋅429854135970336 = 859708271940672 is not.

Almost surely, 2^{429854135970336} 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 429854135970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744374534012928).

429854135970336 is an abundant number, since it is smaller than the sum of its proper divisors (1058894932055520).

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

429854135970336 is a wasteful number, since it uses less digits than its factorization.

429854135970336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 69.

The spelling of 429854135970336 in words is "four hundred twenty-nine trillion, eight hundred fifty-four billion, one hundred thirty-five million, nine hundred seventy thousand, three hundred thirty-six".