400242204004416 has 112 divisors (see below), whose sum is σ = 1062128905252800. Its totient is φ = 133016996800512.

The previous prime is 400242204004403. The next prime is 400242204004421. The reversal of 400242204004416 is 614400402242004.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 134729130 + ... + 137667798.

It is an arithmetic number, because the mean of its divisors is an integer number (9483293796900).

Almost surely, 2^{400242204004416} 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 400242204004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531064452626400).

400242204004416 is an abundant number, since it is smaller than the sum of its proper divisors (661886701248384).

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

400242204004416 is a wasteful number, since it uses less digits than its factorization.

400242204004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940796 (or 2940786 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 400242204004416 in words is "four hundred trillion, two hundred forty-two billion, two hundred four million, four thousand, four hundred sixteen".