404282628064 has 192 divisors, whose sum is σ = 1023521909760. Its totient is φ = 153177108480.

The previous prime is 404282628049. The next prime is 404282628067. The reversal of 404282628064 is 460826282404.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404282628067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963042 + ... + 4063774.

It is an arithmetic number, because the mean of its divisors is an integer number (5330843280).

Almost surely, 2^404282628064 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 404282628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511760954880).

404282628064 is an abundant number, since it is smaller than the sum of its proper divisors (619239281696).

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

404282628064 is a wasteful number, since it uses less digits than its factorization.

404282628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100833 (or 100825 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 46.

The spelling of 404282628064 in words is "four hundred four billion, two hundred eighty-two million, six hundred twenty-eight thousand, sixty-four".