401167323648 has 1280 divisors, whose sum is σ = 1539314810880. Its totient is φ = 101583175680.

The previous prime is 401167323647. The next prime is 401167323677. The reversal of 401167323648 is 846323761104.

401167323648 is a `hidden beast` number, since 401 + 1 + 6 + 7 + 3 + 236 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (401167323643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3158797761 + ... + 3158797887.

It is an arithmetic number, because the mean of its divisors is an integer number (1202589696).

Almost surely, 2^401167323648 is an apocalyptic number.

401167323648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401167323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769657405440).

401167323648 is an abundant number, since it is smaller than the sum of its proper divisors (1138147487232).

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

401167323648 is an equidigital number, since it uses as much as digits as its factorization.

401167323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 401167323648 in words is "four hundred one billion, one hundred sixty-seven million, three hundred twenty-three thousand, six hundred forty-eight".