404629822080 has 768 divisors, whose sum is σ = 1684194819840. Its totient is φ = 88302551040.

The previous prime is 404629822073. The next prime is 404629822081. The reversal of 404629822080 is 80228926404.

404629822080 is a `hidden beast` number, since 4 + 0 + 462 + 98 + 2 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (404629822081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24765594 + ... + 24781926.

It is an arithmetic number, because the mean of its divisors is an integer number (2192962005).

Almost surely, 2^404629822080 is an apocalyptic number.

404629822080 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 404629822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842097409920).

404629822080 is an abundant number, since it is smaller than the sum of its proper divisors (1279564997760).

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

404629822080 is a wasteful number, since it uses less digits than its factorization.

404629822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16409 (or 16394 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 4046298 and 22080, that added together give a triangular number (4068378 = T₂₈₅₂).

The spelling of 404629822080 in words is "four hundred four billion, six hundred twenty-nine million, eight hundred twenty-two thousand, eighty".