401632990848 has 384 divisors, whose sum is σ = 1205421834240. Its totient is φ = 128272435200.

The previous prime is 401632990769. The next prime is 401632990849. The reversal of 401632990848 is 848099236104.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401632990848² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401632990794 and 401632990803.

It is not an unprimeable number, because it can be changed into a prime (401632990849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734246511 + ... + 734247057.

It is an arithmetic number, because the mean of its divisors is an integer number (3139119360).

Almost surely, 2^401632990848 is an apocalyptic number.

401632990848 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 401632990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602710917120).

401632990848 is an abundant number, since it is smaller than the sum of its proper divisors (803788843392).

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

401632990848 is a wasteful number, since it uses less digits than its factorization.

401632990848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 401632990848 in words is "four hundred one billion, six hundred thirty-two million, nine hundred ninety thousand, eight hundred forty-eight".