401001763008 has 224 divisors, whose sum is σ = 1327944642048. Its totient is φ = 103750041600.

The previous prime is 401001762991. The next prime is 401001763037. The reversal of 401001763008 is 800367100104.

It is a happy number.

It is a Cunningham number, because it is equal to 633247²-1.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 3746718 + ... + 3852258.

Almost surely, 2^401001763008 is an apocalyptic number.

401001763008 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 401001763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663972321024).

401001763008 is an abundant number, since it is smaller than the sum of its proper divisors (926942879040).

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

401001763008 is a wasteful number, since it uses less digits than its factorization.

401001763008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105831 (or 105821 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 401001763008 in words is "four hundred one billion, one million, seven hundred sixty-three thousand, eight".