401100024 has 64 divisors (see below), whose sum is σ = 1082743200. Its totient is φ = 123088896.

The previous prime is 401100019. The next prime is 401100031. The reversal of 401100024 is 420001104.

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 = 401099982 and 401100009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133612 + ... + 136580.

Almost surely, 2^401100024 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 401100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541371600).

401100024 is an abundant number, since it is smaller than the sum of its proper divisors (681643176).

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

401100024 is a wasteful number, since it uses less digits than its factorization.

401100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3420 counting only the distinct ones).

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

The square root of 401100024 is about 20027.4817188782. The cubic root of 401100024 is about 737.4811020342.

Adding to 401100024 its reverse (420001104), we get a palindrome (821101128).

The spelling of 401100024 in words is "four hundred one million, one hundred thousand, twenty-four".