4101041400 has 192 divisors, whose sum is σ = 13304148480. Its totient is φ = 1043942400.

The previous prime is 4101041389. The next prime is 4101041401. The reversal of 4101041400 is 41401014.

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 4101041400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101041401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154427 + ... + 1157973.

It is an arithmetic number, because the mean of its divisors is an integer number (69292440).

Almost surely, 2^4101041400 is an apocalyptic number.

4101041400 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 4101041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652074240).

4101041400 is an abundant number, since it is smaller than the sum of its proper divisors (9203107080).

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

4101041400 is a wasteful number, since it uses less digits than its factorization.

4101041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4101041400 is about 64039.3738257956. The cubic root of 4101041400 is about 1600.6561631611.

Adding to 4101041400 its reverse (41401014), we get a palindrome (4142442414).

The spelling of 4101041400 in words is "four billion, one hundred one million, forty-one thousand, four hundred".