10400040 has 96 divisors (see below), whose sum is σ = 38638080. Its totient is φ = 2376576.

The previous prime is 10400029. The next prime is 10400057. The reversal of 10400040 is 4000401.

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 junction number, because it is equal to n+sod(n) for n = 10399995 and 10400031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (402480).

Almost surely, 2^10400040 is an apocalyptic number.

10400040 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 10400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319040).

10400040 is an abundant number, since it is smaller than the sum of its proper divisors (28238040).

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

10400040 is a wasteful number, since it uses less digits than its factorization.

10400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4144 counting only the distinct ones).

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

The square root of 10400040 is about 3224.9093010502. The cubic root of 10400040 is about 218.2788564562.

Adding to 10400040 its reverse (4000401), we get a palindrome (14400441).

The spelling of 10400040 in words is "ten million, four hundred thousand, forty".