4116400 has 60 divisors (see below), whose sum is σ = 10171224. Its totient is φ = 1600000.

The previous prime is 4116391. The next prime is 4116419. The reversal of 4116400 is 46114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16275 + ... + 16525.

Almost surely, 2^4116400 is an apocalyptic number.

4116400 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 4116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612).

4116400 is an abundant number, since it is smaller than the sum of its proper divisors (6054824).

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

4116400 is a wasteful number, since it uses less digits than its factorization.

4116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4116400 is about 2028.8913228658. The cubic root of 4116400 is about 160.2651852371.

It can be divided in two parts, 41 and 16400, that multiplied together give a square (672400 = 820²).

The spelling of 4116400 in words is "four million, one hundred sixteen thousand, four hundred".