10401000 has 64 divisors (see below), whose sum is σ = 32460480. Its totient is φ = 2772800.

The previous prime is 10400993. The next prime is 10401011. The reversal of 10401000 is 10401.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10401000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (507195).

Almost surely, 2^10401000 is an apocalyptic number.

10401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230240).

10401000 is an abundant number, since it is smaller than the sum of its proper divisors (22059480).

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

10401000 is a wasteful number, since it uses less digits than its factorization.

10401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10401000 is about 3225.0581390108. The cubic root of 10401000 is about 218.2855724962.

Adding to 10401000 its reverse (10401), we get a palindrome (10411401).

10401000 divided by its reverse (10401) gives a cube (1000 = 10³).

The spelling of 10401000 in words is "ten million, four hundred one thousand".