401314120 has 64 divisors (see below), whose sum is σ = 957795840. Its totient is φ = 151008000.

The previous prime is 401314117. The next prime is 401314159. The reversal of 401314120 is 21413104.

It is a super-2 number, since 2×401314120² = 322106045822748800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401314094 and 401314103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52545 + ... + 59695.

It is an arithmetic number, because the mean of its divisors is an integer number (14965560).

Almost surely, 2^401314120 is an apocalyptic number.

401314120 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 401314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478897920).

401314120 is an abundant number, since it is smaller than the sum of its proper divisors (556481720).

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

401314120 is a wasteful number, since it uses less digits than its factorization.

401314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 401314120 is about 20032.8260612426. The cubic root of 401314120 is about 737.6122943056.

Adding to 401314120 its reverse (21413104), we get a palindrome (422727224).

The spelling of 401314120 in words is "four hundred one million, three hundred fourteen thousand, one hundred twenty".