404537659932672 has 1440 divisors, whose sum is σ = 1463440613806080. Its totient is φ = 105008678830080.

The previous prime is 404537659932649. The next prime is 404537659932719. The reversal of 404537659932672 is 276239956735404.

It is a happy number.

404537659932672 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 3 + 7 + 6 + 599 + 3 + 26 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 404537659932672.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309516189043 + ... + 309516190349.

It is an arithmetic number, because the mean of its divisors is an integer number (1016278204032).

Almost surely, 2^{404537659932672} is an apocalyptic number.

404537659932672 is a gapful number since it is divisible by the number (42) 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 404537659932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731720306903040).

404537659932672 is an abundant number, since it is smaller than the sum of its proper divisors (1058902953873408).

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

404537659932672 is a wasteful number, since it uses less digits than its factorization.

404537659932672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 404537659932672 in words is "four hundred four trillion, five hundred thirty-seven billion, six hundred fifty-nine million, nine hundred thirty-two thousand, six hundred seventy-two".