401022444220104 has 384 divisors, whose sum is σ = 1180427843347200. Its totient is φ = 113189258649600.

The previous prime is 401022444220043. The next prime is 401022444220127.

401022444220104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135801706692 + ... + 135801709644.

It is an arithmetic number, because the mean of its divisors is an integer number (3074030842050).

Almost surely, 2^{401022444220104} 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 401022444220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590213921673600).

401022444220104 is an abundant number, since it is smaller than the sum of its proper divisors (779405399127096).

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

401022444220104 is a wasteful number, since it uses less digits than its factorization.

401022444220104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 401022444220104 in words is "four hundred one trillion, twenty-two billion, four hundred forty-four million, two hundred twenty thousand, one hundred four".