4129429885440 has 640 divisors, whose sum is σ = 14419226181888. Its totient is φ = 1003927633920.

The previous prime is 4129429885381. The next prime is 4129429885487. The reversal of 4129429885440 is 445889249214.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 1164201747 + ... + 1164205293.

Almost surely, 2^{4129429885440} is an apocalyptic number.

4129429885440 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 4129429885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209613090944).

4129429885440 is an abundant number, since it is smaller than the sum of its proper divisors (10289796296448).

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

4129429885440 is a wasteful number, since it uses less digits than its factorization.

4129429885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 4129429885440 in words is "four trillion, one hundred twenty-nine billion, four hundred twenty-nine million, eight hundred eighty-five thousand, four hundred forty".