401241024 has 168 divisors, whose sum is σ = 1203063888. Its totient is φ = 127733760.

The previous prime is 401241023. The next prime is 401241053. The reversal of 401241024 is 420142104.

401241024 is a `hidden beast` number, since 401 + 241 + 0 + 24 = 666.

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 = 401240988 and 401241006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401241023) 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, 1427764 + ... + 1428044.

Almost surely, 2^401241024 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 401241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601531944).

401241024 is an abundant number, since it is smaller than the sum of its proper divisors (801822864).

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

401241024 is a wasteful number, since it uses less digits than its factorization.

401241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 401241024 is about 20031.0015725625. The cubic root of 401241024 is about 737.5675082894.

Adding to 401241024 its reverse (420142104), we get a palindrome (821383128).

The spelling of 401241024 in words is "four hundred one million, two hundred forty-one thousand, twenty-four".