10040400 has 90 divisors (see below), whose sum is σ = 34855470. Its totient is φ = 2676480.

The previous prime is 10040399. The next prime is 10040413. The reversal of 10040400 is 404001.

It can be written as a sum of positive squares in 3 ways, for example, as 968256 + 9072144 = 984^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2206 + ... + 4994.

It is an arithmetic number, because the mean of its divisors is an integer number (387283).

Almost surely, 2^10040400 is an apocalyptic number.

10040400 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 10040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427735).

10040400 is an abundant number, since it is smaller than the sum of its proper divisors (24815070).

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

10040400 is a wasteful number, since it uses less digits than its factorization.

10040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10040400 is about 3168.6590223626. The cubic root of 10040400 is about 215.7332097069.

Adding to 10040400 its reverse (404001), we get a palindrome (10444401).

It can be divided in two parts, 10040 and 400, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10040400 in words is "ten million, forty thousand, four hundred".