404010211400 has 96 divisors (see below), whose sum is σ = 971955369000. Its totient is φ = 155992811520.

The previous prime is 404010211307. The next prime is 404010211457. The reversal of 404010211400 is 4112010404.

It can be written as a sum of positive squares in 12 ways, for example, as 58390856164 + 345619355236 = 241642^2 + 587894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37097156 + ... + 37108044.

Almost surely, 2^404010211400 is an apocalyptic number.

404010211400 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 404010211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485977684500).

404010211400 is an abundant number, since it is smaller than the sum of its proper divisors (567945157600).

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

404010211400 is a wasteful number, since it uses less digits than its factorization.

404010211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17331 (or 17322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 404010211400 its reverse (4112010404), we get a palindrome (408122221804).

The spelling of 404010211400 in words is "four hundred four billion, ten million, two hundred eleven thousand, four hundred".