401221024 has 48 divisors (see below), whose sum is σ = 847234080. Its totient is φ = 186451200.

The previous prime is 401220997. The next prime is 401221027. The reversal of 401221024 is 420122104.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 401220989 and 401221007.

It is not an unprimeable number, because it can be changed into a prime (401221027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25999 + ... + 38449.

It is an arithmetic number, because the mean of its divisors is an integer number (17650710).

Almost surely, 2^401221024 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 401221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423617040).

401221024 is an abundant number, since it is smaller than the sum of its proper divisors (446013056).

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

401221024 is a wasteful number, since it uses less digits than its factorization.

401221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 401221024 is about 20030.5023401811. The cubic root of 401221024 is about 737.5552533151. Note that the first 3 decimals are identical.

Adding to 401221024 its reverse (420122104), we get a palindrome (821343128).

The spelling of 401221024 in words is "four hundred one million, two hundred twenty-one thousand, twenty-four".