406440121400 has 96 divisors (see below), whose sum is σ = 980184585600. Its totient is φ = 156548313600.

The previous prime is 406440121391. The next prime is 406440121427. The reversal of 406440121400 is 4121044604.

It is a self number, because there is not a number n which added to its sum of digits gives 406440121400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2069465 + ... + 2257335.

It is an arithmetic number, because the mean of its divisors is an integer number (10210256100).

Almost surely, 2^406440121400 is an apocalyptic number.

406440121400 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 406440121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490092292800).

406440121400 is an abundant number, since it is smaller than the sum of its proper divisors (573744464200).

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

406440121400 is a wasteful number, since it uses less digits than its factorization.

406440121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188289 (or 188280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 406440121400 in words is "four hundred six billion, four hundred forty million, one hundred twenty-one thousand, four hundred".