404040401051456 has 112 divisors (see below), whose sum is σ = 893352132713040. Its totient is φ = 180022387507200.

The previous prime is 404040401051449. The next prime is 404040401051461. The reversal of 404040401051456 is 654150104040404.

It can be written as a sum of positive squares in 8 ways, for example, as 288283086400 + 403752117965056 = 536920^2 + 20093584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157416806 + ... + 159962906.

It is an arithmetic number, because the mean of its divisors is an integer number (7976358327795).

Almost surely, 2^{404040401051456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404040401051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446676066356520).

404040401051456 is an abundant number, since it is smaller than the sum of its proper divisors (489311731661584).

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

404040401051456 is a wasteful number, since it uses less digits than its factorization.

404040401051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552732 (or 2552722 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 404040401051456 in words is "four hundred four trillion, forty billion, four hundred one million, fifty-one thousand, four hundred fifty-six".