4105010400 has 144 divisors (see below), whose sum is σ = 14147938224. Its totient is φ = 1030266880.

The previous prime is 4105010339. The next prime is 4105010449. The reversal of 4105010400 is 40105014.

It is a super-2 number, since 2×4105010400² = 33702220768216320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4105010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9507 + ... + 91106.

It is an arithmetic number, because the mean of its divisors is an integer number (98249571).

Almost surely, 2^4105010400 is an apocalyptic number.

4105010400 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 4105010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073969112).

4105010400 is an abundant number, since it is smaller than the sum of its proper divisors (10042927824).

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

4105010400 is a wasteful number, since it uses less digits than its factorization.

4105010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100653 (or 100640 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4105010400 is about 64070.3550793969. The cubic root of 4105010400 is about 1601.1723699248.

Adding to 4105010400 its reverse (40105014), we get a palindrome (4145115414).

The spelling of 4105010400 in words is "four billion, one hundred five million, ten thousand, four hundred".