4040400 has 240 divisors, whose sum is σ = 16360064. Its totient is φ = 829440.

The previous prime is 4040389. The next prime is 4040401. The reversal of 4040400 is 40404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040401) 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, 109182 + ... + 109218.

Almost surely, 2^4040400 is an apocalyptic number.

4040400 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 4040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180032).

4040400 is an abundant number, since it is smaller than the sum of its proper divisors (12319664).

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

4040400 is a wasteful number, since it uses less digits than its factorization.

4040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4040400 is about 2010.0746254804. The cubic root of 4040400 is about 159.2727410150.

Adding to 4040400 its reverse (40404), we get a palindrome (4080804).

Multiplying 4040400 by its reverse (40404), we get a square (163248321600 = 404040²).

4040400 divided by its reverse (40404) gives a square (100 = 10²).

The spelling of 4040400 in words is "four million, forty thousand, four hundred".