4086146400 has 288 divisors, whose sum is σ = 15726493440. Its totient is φ = 901662720.

The previous prime is 4086146381. The next prime is 4086146413. The reversal of 4086146400 is 46416804.

4086146400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483007 + ... + 491393.

It is an arithmetic number, because the mean of its divisors is an integer number (54605880).

Almost surely, 2^4086146400 is an apocalyptic number.

4086146400 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 4086146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863246720).

4086146400 is an abundant number, since it is smaller than the sum of its proper divisors (11640347040).

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

4086146400 is a wasteful number, since it uses less digits than its factorization.

4086146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4086146400 is about 63922.9723964711. The cubic root of 4086146400 is about 1598.7159489504.

The spelling of 4086146400 in words is "four billion, eighty-six million, one hundred forty-six thousand, four hundred".