404536642033356 has 240 divisors, whose sum is σ = 1224708620298240. Its totient is φ = 114044798724480.

The previous prime is 404536642033343. The next prime is 404536642033417. The reversal of 404536642033356 is 653330246635404.

404536642033356 is a `hidden beast` number, since 4 + 0 + 4 + 536 + 6 + 4 + 20 + 3 + 33 + 56 = 666.

It is a super-2 number, since 2×404536642033356² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275730766 + ... + 277194026.

It is an arithmetic number, because the mean of its divisors is an integer number (5102952584576).

Almost surely, 2^{404536642033356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404536642033356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612354310149120).

404536642033356 is an abundant number, since it is smaller than the sum of its proper divisors (820171978264884).

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

404536642033356 is a wasteful number, since it uses less digits than its factorization.

404536642033356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464906 (or 1464895 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 54.

The spelling of 404536642033356 in words is "four hundred four trillion, five hundred thirty-six billion, six hundred forty-two million, thirty-three thousand, three hundred fifty-six".