404120040 has 64 divisors (see below), whose sum is σ = 1217280960. Its totient is φ = 107328000.

The previous prime is 404120029. The next prime is 404120047. The reversal of 404120040 is 40021404.

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

It is not an unprimeable number, because it can be changed into a prime (404120047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23412 + ... + 36828.

It is an arithmetic number, because the mean of its divisors is an integer number (19020015).

Almost surely, 2^404120040 is an apocalyptic number.

404120040 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 404120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608640480).

404120040 is an abundant number, since it is smaller than the sum of its proper divisors (813160920).

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

404120040 is a wasteful number, since it uses less digits than its factorization.

404120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13682 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 404120040 is about 20102.7371270680. The cubic root of 404120040 is about 739.3273898018.

Adding to 404120040 its reverse (40021404), we get a palindrome (444141444).

The spelling of 404120040 in words is "four hundred four million, one hundred twenty thousand, forty".