404040006090 has 192 divisors, whose sum is σ = 1257638296320. Its totient is φ = 92035923840.

The previous prime is 404040006079. The next prime is 404040006113. The reversal of 404040006090 is 90600040404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3824275 + ... + 3928505.

It is an arithmetic number, because the mean of its divisors is an integer number (6550199460).

Almost surely, 2^404040006090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404040006090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628819148160).

404040006090 is an abundant number, since it is smaller than the sum of its proper divisors (853598290230).

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

404040006090 is a wasteful number, since it uses less digits than its factorization.

404040006090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104554 (or 104541 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 404040006090 its reverse (90600040404), we get a palindrome (494640046494).

The spelling of 404040006090 in words is "four hundred four billion, forty million, six thousand, ninety".