400786050816 has 432 divisors, whose sum is σ = 1275071155680. Its totient is φ = 125686038528.

The previous prime is 400786050809. The next prime is 400786050851. The reversal of 400786050816 is 618050687004.

It is a happy number.

400786050816 is a `hidden beast` number, since 4 + 0 + 0 + 78 + 60 + 508 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161801770 + ... + 161804246.

Almost surely, 2^400786050816 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 400786050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637535577840).

400786050816 is an abundant number, since it is smaller than the sum of its proper divisors (874285104864).

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

400786050816 is an frugal number, since it uses more digits than its factorization.

400786050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 400786050816 in words is "four hundred billion, seven hundred eighty-six million, fifty thousand, eight hundred sixteen".