4013146800 has 180 divisors, whose sum is σ = 14998196304. Its totient is φ = 987840000.

The previous prime is 4013146777. The next prime is 4013146829. The reversal of 4013146800 is 86413104.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4013146800² = 32210694476700480000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3925 + ... + 89675.

Almost surely, 2^4013146800 is an apocalyptic number.

4013146800 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 4013146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499098152).

4013146800 is an abundant number, since it is smaller than the sum of its proper divisors (10985049504).

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

4013146800 is a wasteful number, since it uses less digits than its factorization.

4013146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85788 (or 85774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4013146800 is about 63349.4025228336. The cubic root of 4013146800 is about 1589.1382538147.

Adding to 4013146800 its reverse (86413104), we get a palindrome (4099559904).

The spelling of 4013146800 in words is "four billion, thirteen million, one hundred forty-six thousand, eight hundred".