429049420800 has 1056 divisors, whose sum is σ = 1904270452224. Its totient is φ = 82280448000.

The previous prime is 429049420783. The next prime is 429049420817. The reversal of 429049420800 is 8024940924.

It is an interprime number because it is at equal distance from previous prime (429049420783) and next prime (429049420817).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76874010 + ... + 76879590.

Almost surely, 2^429049420800 is an apocalyptic number.

429049420800 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 429049420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952135226112).

429049420800 is an abundant number, since it is smaller than the sum of its proper divisors (1475221031424).

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

429049420800 is a wasteful number, since it uses less digits than its factorization.

429049420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 429049420800 in words is "four hundred twenty-nine billion, forty-nine million, four hundred twenty thousand, eight hundred".