404166416040 has 384 divisors, whose sum is σ = 1374177168000. Its totient is φ = 106834775040.

The previous prime is 404166416021. The next prime is 404166416053. The reversal of 404166416040 is 40614661404.

404166416040 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 6 + 6 + 41 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404166415986 and 404166416004.

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 95 ways as a sum of consecutive naturals, for example, 960015030 + ... + 960015450.

It is an arithmetic number, because the mean of its divisors is an integer number (3578586375).

Almost surely, 2^404166416040 is an apocalyptic number.

404166416040 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 404166416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687088584000).

404166416040 is an abundant number, since it is smaller than the sum of its proper divisors (970010751960).

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

404166416040 is a wasteful number, since it uses less digits than its factorization.

404166416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 404166416040 in words is "four hundred four billion, one hundred sixty-six million, four hundred sixteen thousand, forty".