404055314064 has 160 divisors (see below), whose sum is σ = 1173179911680. Its totient is φ = 133134336000.

The previous prime is 404055314023. The next prime is 404055314071. The reversal of 404055314064 is 460413550404.

404055314064 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 553 + 1 + 40 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27960889 + ... + 27975335.

It is an arithmetic number, because the mean of its divisors is an integer number (7332374448).

Almost surely, 2^404055314064 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 404055314064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586589955840).

404055314064 is an abundant number, since it is smaller than the sum of its proper divisors (769124597616).

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

404055314064 is a wasteful number, since it uses less digits than its factorization.

404055314064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15206 (or 15194 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 404055314064 its reverse (460413550404), we get a palindrome (864468864468).

The spelling of 404055314064 in words is "four hundred four billion, fifty-five million, three hundred fourteen thousand, sixty-four".