4131400 has 96 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1301760.

The previous prime is 4131373. The next prime is 4131409. The reversal of 4131400 is 41314.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131409) 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, 18087 + ... + 18313.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^4131400 is an apocalyptic number.

4131400 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 4131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4131400 is an abundant number, since it is smaller than the sum of its proper divisors (7742840).

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

4131400 is a wasteful number, since it uses less digits than its factorization.

4131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4131400 is about 2032.5845615866. The cubic root of 4131400 is about 160.4596159432.

Adding to 4131400 its reverse (41314), we get a palindrome (4172714).

Multiplying 4131400 by its reverse (41314), we get a square (170684659600 = 413140²).

4131400 divided by its reverse (41314) gives a square (100 = 10²).

The spelling of 4131400 in words is "four million, one hundred thirty-one thousand, four hundred".