404085749760 has 2688 divisors, whose sum is σ = 1959341529600. Its totient is φ = 77396705280.

The previous prime is 404085749719. The next prime is 404085749761. The reversal of 404085749760 is 67947580404.

404085749760 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 8 + 574 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 404085749697 and 404085749706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404085749761) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10921236462 + ... + 10921236498.

It is an arithmetic number, because the mean of its divisors is an integer number (728921700).

Almost surely, 2^404085749760 is an apocalyptic number.

404085749760 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 404085749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979670764800).

404085749760 is an abundant number, since it is smaller than the sum of its proper divisors (1555255779840).

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

404085749760 is a wasteful number, since it uses less digits than its factorization.

404085749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 404085749760 in words is "four hundred four billion, eighty-five million, seven hundred forty-nine thousand, seven hundred sixty".