10400210040 has 64 divisors (see below), whose sum is σ = 34037055360. Its totient is φ = 2521262720.

The previous prime is 10400210027. The next prime is 10400210047. The reversal of 10400210040 is 4001200401.

It is a super-2 number, since 2×10400210040² (a number of 21 digits) contains 22 as substring.

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 = 10400209998 and 10400210025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400210047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3938154 + ... + 3940793.

It is an arithmetic number, because the mean of its divisors is an integer number (531828990).

Almost surely, 2^10400210040 is an apocalyptic number.

10400210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400210040 is an abundant number, since it is smaller than the sum of its proper divisors (23636845320).

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

10400210040 is a wasteful number, since it uses less digits than its factorization.

10400210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878972 (or 7878968 counting only the distinct ones).

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

Adding to 10400210040 its reverse (4001200401), we get a palindrome (14401410441).

The spelling of 10400210040 in words is "ten billion, four hundred million, two hundred ten thousand, forty".