401134020 has 192 divisors, whose sum is σ = 1338494976. Its totient is φ = 87851520.

The previous prime is 401133919. The next prime is 401134031. The reversal of 401134020 is 20431104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1289665 + ... + 1289975.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^401134020 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 401134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

401134020 is an abundant number, since it is smaller than the sum of its proper divisors (937360956).

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

401134020 is a wasteful number, since it uses less digits than its factorization.

401134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 401134020 is about 20028.3304346618. The cubic root of 401134020 is about 737.5019369862.

Adding to 401134020 its reverse (20431104), we get a palindrome (421565124).

It can be divided in two parts, 401 and 134020, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 401134020 in words is "four hundred one million, one hundred thirty-four thousand, twenty".