401412330 has 288 divisors, whose sum is σ = 1282739328. Its totient is φ = 86169600.

The previous prime is 401412311. The next prime is 401412331. The reversal of 401412330 is 33214104.

It is a super-2 number, since 2×401412330² = 322263717352057800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401412331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6580500 + ... + 6580560.

It is an arithmetic number, because the mean of its divisors is an integer number (4453956).

Almost surely, 2^401412330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401412330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641369664).

401412330 is an abundant number, since it is smaller than the sum of its proper divisors (881326998).

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

401412330 is a wasteful number, since it uses less digits than its factorization.

401412330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401412330 is about 20035.2771380882. The cubic root of 401412330 is about 737.6724591418.

Adding to 401412330 its reverse (33214104), we get a palindrome (434626434).

The spelling of 401412330 in words is "four hundred one million, four hundred twelve thousand, three hundred thirty".