404004040000 has 280 divisors, whose sum is σ = 1103813241696. Its totient is φ = 145440000000.

The previous prime is 404004039961. The next prime is 404004040003. The reversal of 404004040000 is 40400404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44435455 + ... + 44444545.

Almost surely, 2^404004040000 is an apocalyptic number.

404004040000 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 404004040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551906620848).

404004040000 is an abundant number, since it is smaller than the sum of its proper divisors (699809201696).

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

404004040000 is a wasteful number, since it uses less digits than its factorization.

404004040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 404004040000 its reverse (40400404), we get a palindrome (404044440404).

404004040000 divided by its reverse (40400404) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 40400 and 4040000, that multiplied together give a square (163216000000 = 404000²).

The spelling of 404004040000 in words is "four hundred four billion, four million, forty thousand".