404505152040 has 256 divisors, whose sum is σ = 1350784512000. Its totient is φ = 96071040000.

The previous prime is 404505152039. The next prime is 404505152111. The reversal of 404505152040 is 40251505404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404505151989 and 404505152007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52536111 + ... + 52543809.

It is an arithmetic number, because the mean of its divisors is an integer number (5276502000).

Almost surely, 2^404505152040 is an apocalyptic number.

404505152040 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 404505152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675392256000).

404505152040 is an abundant number, since it is smaller than the sum of its proper divisors (946279359960).

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

404505152040 is a wasteful number, since it uses less digits than its factorization.

404505152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 404505152040 its reverse (40251505404), we get a palindrome (444756657444).

The spelling of 404505152040 in words is "four hundred four billion, five hundred five million, one hundred fifty-two thousand, forty".