401321424 has 80 divisors (see below), whose sum is σ = 1202605568. Its totient is φ = 112945536.

The previous prime is 401321423. The next prime is 401321429. The reversal of 401321424 is 424123104.

It is a super-2 number, since 2×401321424² = 322117770722775552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 401321424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401321423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13599 + ... + 31425.

Almost surely, 2^401321424 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 401321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601302784).

401321424 is an abundant number, since it is smaller than the sum of its proper divisors (801284144).

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

401321424 is a wasteful number, since it uses less digits than its factorization.

401321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17912 (or 17906 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 401321424 is about 20033.0083612023. The cubic root of 401321424 is about 737.6167691772.

Adding to 401321424 its reverse (424123104), we get a palindrome (825444528).

The spelling of 401321424 in words is "four hundred one million, three hundred twenty-one thousand, four hundred twenty-four".