401010120 has 288 divisors, whose sum is σ = 1536537600. Its totient is φ = 90429696.

The previous prime is 401010119. The next prime is 401010139. The reversal of 401010120 is 21010104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2240191 + ... + 2240369.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2^401010120 is an apocalyptic number.

401010120 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 401010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768268800).

401010120 is an abundant number, since it is smaller than the sum of its proper divisors (1135527480).

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

401010120 is a wasteful number, since it uses less digits than its factorization.

401010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 401010120 is about 20025.2370772483. The cubic root of 401010120 is about 737.4259973625.

Adding to 401010120 its reverse (21010104), we get a palindrome (422020224).

The spelling of 401010120 in words is "four hundred one million, ten thousand, one hundred twenty".