401107320 has 96 divisors (see below), whose sum is σ = 1306534320. Its totient is φ = 106721280.

The previous prime is 401107297. The next prime is 401107321. The reversal of 401107320 is 23701104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401107293 and 401107302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401107321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206755 + ... + 208685.

Almost surely, 2^401107320 is an apocalyptic number.

401107320 is a gapful number since it is divisible by the number (40) 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 401107320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653267160).

401107320 is an abundant number, since it is smaller than the sum of its proper divisors (905427000).

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

401107320 is a wasteful number, since it uses less digits than its factorization.

401107320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401107320 is about 20027.6638677605. The cubic root of 401107320 is about 737.4855735950.

Adding to 401107320 its reverse (23701104), we get a palindrome (424808424).

The spelling of 401107320 in words is "four hundred one million, one hundred seven thousand, three hundred twenty".