401014020 has 192 divisors, whose sum is σ = 1313335296. Its totient is φ = 90347520.

The previous prime is 401013997. The next prime is 401014063. The reversal of 401014020 is 20410104.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 401013987 and 401014005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155487 + ... + 1155833.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2^401014020 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 401014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656667648).

401014020 is an abundant number, since it is smaller than the sum of its proper divisors (912321276).

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

401014020 is a wasteful number, since it uses less digits than its factorization.

401014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 401014020 is about 20025.3344541358. The cubic root of 401014020 is about 737.4283879523.

Adding to 401014020 its reverse (20410104), we get a palindrome (421424124).

The spelling of 401014020 in words is "four hundred one million, fourteen thousand, twenty".