400542421332304 has 160 divisors (see below), whose sum is σ = 817648604568576. Its totient is φ = 189837232865280.

The previous prime is 400542421332257. The next prime is 400542421332311. The reversal of 400542421332304 is 403233124245004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14347602954 + ... + 14347630870.

Almost surely, 2^{400542421332304} 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 400542421332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408824302284288).

400542421332304 is an abundant number, since it is smaller than the sum of its proper divisors (417106183236272).

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

400542421332304 is a wasteful number, since it uses less digits than its factorization.

400542421332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30453 (or 30447 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 400542421332304 its reverse (403233124245004), we get a palindrome (803775545577308).

The spelling of 400542421332304 in words is "four hundred trillion, five hundred forty-two billion, four hundred twenty-one million, three hundred thirty-two thousand, three hundred four".