4138156800 has 162 divisors, whose sum is σ = 14795050452. Its totient is φ = 1103493120.

The previous prime is 4138156787. The next prime is 4138156807. The reversal of 4138156800 is 86518314.

4138156800 is a `hidden beast` number, since 4 + 13 + 81 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4138156807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21679 + ... + 93521.

Almost surely, 2^4138156800 is an apocalyptic number.

4138156800 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 4138156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397525226).

4138156800 is an abundant number, since it is smaller than the sum of its proper divisors (10656893652).

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

4138156800 is a wasteful number, since it uses less digits than its factorization.

4138156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71875 (or 71853 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4138156800 is about 64328.5069001294. The cubic root of 4138156800 is about 1605.4704417674.

The spelling of 4138156800 in words is "four billion, one hundred thirty-eight million, one hundred fifty-six thousand, eight hundred".