400312958976 has 918 divisors, whose sum is σ = 1470451470540. Its totient is φ = 108355387392.

The previous prime is 400312958963. The next prime is 400312958993. The reversal of 400312958976 is 679859213004.

400312958976 is a `hidden beast` number, since 4 + 0 + 0 + 31 + 29 + 589 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21069103095 + ... + 21069103113.

It is a 1-persistent number, because it is pandigital, but 2⋅400312958976 = 800625917952 is not.

Almost surely, 2^400312958976 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 400312958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735225735270).

400312958976 is an abundant number, since it is smaller than the sum of its proper divisors (1070138511564).

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

400312958976 is an frugal number, since it uses more digits than its factorization.

400312958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 400312958976 in words is "four hundred billion, three hundred twelve million, nine hundred fifty-eight thousand, nine hundred seventy-six".