401133024 has 144 divisors (see below), whose sum is σ = 1173109392. Its totient is φ = 129982464.

The previous prime is 401133023. The next prime is 401133067. The reversal of 401133024 is 420331104.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 401132988 and 401133006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401133023) 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, 2318602 + ... + 2318774.

It is an arithmetic number, because the mean of its divisors is an integer number (8146593).

Almost surely, 2^401133024 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 401133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586554696).

401133024 is an abundant number, since it is smaller than the sum of its proper divisors (771976368).

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

401133024 is a wasteful number, since it uses less digits than its factorization.

401133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401133024 is about 20028.3055698679. The cubic root of 401133024 is about 737.5013265896.

Adding to 401133024 its reverse (420331104), we get a palindrome (821464128).

The spelling of 401133024 in words is "four hundred one million, one hundred thirty-three thousand, twenty-four".