10401024 has 72 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 3340288.

The previous prime is 10401023. The next prime is 10401029. The reversal of 10401024 is 42010401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22039 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (398580).

Almost surely, 2^10401024 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 10401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

10401024 is an abundant number, since it is smaller than the sum of its proper divisors (18296736).

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

10401024 is an equidigital number, since it uses as much as digits as its factorization.

10401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

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

The square root of 10401024 is about 3225.0618598718. The cubic root of 10401024 is about 218.2857403919.

Adding to 10401024 its reverse (42010401), we get a palindrome (52411425).

The spelling of 10401024 in words is "ten million, four hundred one thousand, twenty-four".