400553343264 has 72 divisors (see below), whose sum is σ = 1066471585200. Its totient is φ = 131637089920.

The previous prime is 400553343257. The next prime is 400553343287. The reversal of 400553343264 is 462343355004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70087 + ... + 897785.

It is an arithmetic number, because the mean of its divisors is an integer number (14812105350).

Almost surely, 2^400553343264 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 400553343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533235792600).

400553343264 is an abundant number, since it is smaller than the sum of its proper divisors (665918241936).

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

400553343264 is an equidigital number, since it uses as much as digits as its factorization.

400553343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827854 (or 827775 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 400553343264 its reverse (462343355004), we get a palindrome (862896698268).

The spelling of 400553343264 in words is "four hundred billion, five hundred fifty-three million, three hundred forty-three thousand, two hundred sixty-four".