404622349824 has 480 divisors, whose sum is σ = 1374587127936. Its totient is φ = 104585134080.

The previous prime is 404622349819. The next prime is 404622349829. The reversal of 404622349824 is 428943226404.

It is an interprime number because it is at equal distance from previous prime (404622349819) and next prime (404622349829).

It is a super-3 number, since 3×404622349824³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404622349829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187933132 + ... + 187935284.

Almost surely, 2^404622349824 is an apocalyptic number.

404622349824 is a gapful number since it is divisible by the number (44) 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 404622349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687293563968).

404622349824 is an abundant number, since it is smaller than the sum of its proper divisors (969964778112).

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

404622349824 is a wasteful number, since it uses less digits than its factorization.

404622349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 404622349824 in words is "four hundred four billion, six hundred twenty-two million, three hundred forty-nine thousand, eight hundred twenty-four".