404441241400 has 192 divisors, whose sum is σ = 1123397383680. Its totient is φ = 132398323200.

The previous prime is 404441241349. The next prime is 404441241461. The reversal of 404441241400 is 4142144404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18375202 + ... + 18397198.

It is an arithmetic number, because the mean of its divisors is an integer number (5851028040).

Almost surely, 2^404441241400 is an apocalyptic number.

404441241400 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 404441241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561698691840).

404441241400 is an abundant number, since it is smaller than the sum of its proper divisors (718956142280).

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

404441241400 is a wasteful number, since it uses less digits than its factorization.

404441241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22614 (or 22605 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 404441241400 its reverse (4142144404), we get a palindrome (408583385804).

The spelling of 404441241400 in words is "four hundred four billion, four hundred forty-one million, two hundred forty-one thousand, four hundred".