4010112400 has 120 divisors (see below), whose sum is σ = 11033571584. Its totient is φ = 1372032000.

The previous prime is 4010112397. The next prime is 4010112401. The reversal of 4010112400 is 42110104.

4010112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4010112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681609 + ... + 1683991.

Almost surely, 2^4010112400 is an apocalyptic number.

4010112400 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 4010112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516785792).

4010112400 is an abundant number, since it is smaller than the sum of its proper divisors (7023459184).

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

4010112400 is a wasteful number, since it uses less digits than its factorization.

4010112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4010112400 is about 63325.4482810821. The cubic root of 4010112400 is about 1588.7376291331.

Adding to 4010112400 its reverse (42110104), we get a palindrome (4052222504).

The spelling of 4010112400 in words is "four billion, ten million, one hundred twelve thousand, four hundred".