4338629632000 has 448 divisors, whose sum is σ = 11473263921600. Its totient is φ = 1633340620800.

The previous prime is 4338629631977. The next prime is 4338629632003. The reversal of 4338629632000 is 2369268334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338629632003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3365887356 + ... + 3365888644.

Almost surely, 2^{4338629632000} is an apocalyptic number.

4338629632000 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 4338629632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736631960800).

4338629632000 is an abundant number, since it is smaller than the sum of its proper divisors (7134634289600).

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

4338629632000 is a wasteful number, since it uses less digits than its factorization.

4338629632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 4338629632000 in words is "four trillion, three hundred thirty-eight billion, six hundred twenty-nine million, six hundred thirty-two thousand".