404088048040 has 16 divisors (see below), whose sum is σ = 909198108180. Its totient is φ = 161635219200.

The previous prime is 404088048037. The next prime is 404088048073. The reversal of 404088048040 is 40840880404.

It can be written as a sum of positive squares in 2 ways, for example, as 401456563236 + 2631484804 = 633606^2 + 51298^2 .

It is a super-3 number, since 3×404088048040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10102201201 = 404088048040 / (4 + 0 + 4 + 0 + 8 + 8 + 0 + 4 + 8 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 404088047984 and 404088048002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5051100561 + ... + 5051100640.

Almost surely, 2^404088048040 is an apocalyptic number.

404088048040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404088048040 is an abundant number, since it is smaller than the sum of its proper divisors (505110060140).

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

404088048040 is a wasteful number, since it uses less digits than its factorization.

404088048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102201212 (or 10102201208 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 404088048040 in words is "four hundred four billion, eighty-eight million, forty-eight thousand, forty".