429618541632 has 224 divisors, whose sum is σ = 1356076657920. Its totient is φ = 117471928320.

The previous prime is 429618541631. The next prime is 429618541733. The reversal of 429618541632 is 236145816924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (429618541631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2962594 + ... + 3104222.

Almost surely, 2^429618541632 is an apocalyptic number.

429618541632 is a gapful number since it is divisible by the number (42) 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 429618541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678038328960).

429618541632 is an abundant number, since it is smaller than the sum of its proper divisors (926458116288).

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

429618541632 is a wasteful number, since it uses less digits than its factorization.

429618541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141749 (or 141739 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 429618541632 in words is "four hundred twenty-nine billion, six hundred eighteen million, five hundred forty-one thousand, six hundred thirty-two".