4058129400 has 288 divisors, whose sum is σ = 14072670720. Its totient is φ = 965952000.

The previous prime is 4058129393. The next prime is 4058129417. The reversal of 4058129400 is 49218504.

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 71 ways as a sum of consecutive naturals, for example, 3142755 + ... + 3144045.

It is an arithmetic number, because the mean of its divisors is an integer number (48863440).

Almost surely, 2^4058129400 is an apocalyptic number.

4058129400 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 4058129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036335360).

4058129400 is an abundant number, since it is smaller than the sum of its proper divisors (10014541320).

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

4058129400 is a wasteful number, since it uses less digits than its factorization.

4058129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4058129400 is about 63703.4488862259. The cubic root of 4058129400 is about 1595.0536566037.

The spelling of 4058129400 in words is "four billion, fifty-eight million, one hundred twenty-nine thousand, four hundred".