404301220400 has 720 divisors, whose sum is σ = 1295226266880. Its totient is φ = 118381824000.

The previous prime is 404301220387. The next prime is 404301220439. The reversal of 404301220400 is 4022103404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165133027 + ... + 1165133373.

Almost surely, 2^404301220400 is an apocalyptic number.

404301220400 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 404301220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647613133440).

404301220400 is an abundant number, since it is smaller than the sum of its proper divisors (890925046480).

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

404301220400 is a wasteful number, since it uses less digits than its factorization.

404301220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404301220400 its reverse (4022103404), we get a palindrome (408323323804).

The spelling of 404301220400 in words is "four hundred four billion, three hundred one million, two hundred twenty thousand, four hundred".