400318396416 has 144 divisors (see below), whose sum is σ = 1157982625800. Its totient is φ = 133232934912.

The previous prime is 400318396411. The next prime is 400318396417. The reversal of 400318396416 is 614693813004.

400318396416 is a `hidden beast` number, since 40 + 0 + 31 + 83 + 96 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400318396411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12130210 + ... + 12163166.

Almost surely, 2^400318396416 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 400318396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578991312900).

400318396416 is an abundant number, since it is smaller than the sum of its proper divisors (757664229384).

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

400318396416 is a wasteful number, since it uses less digits than its factorization.

400318396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33644 (or 33621 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 400318396416 in words is "four hundred billion, three hundred eighteen million, three hundred ninety-six thousand, four hundred sixteen".