10400162000 has 40 divisors (see below), whose sum is σ = 25147596552. Its totient is φ = 4160064000.

The previous prime is 10400161997. The next prime is 10400162023. The reversal of 10400162000 is 26100401.

10400162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 270142096 + 10130019904 = 16436^2 + 100648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598041 + ... + 2602040.

Almost surely, 2^10400162000 is an apocalyptic number.

10400162000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400162000 is an abundant number, since it is smaller than the sum of its proper divisors (14747434552).

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

10400162000 is an equidigital number, since it uses as much as digits as its factorization.

10400162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200104 (or 5200088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10400162000 its reverse (26100401), we get a palindrome (10426262401).

The spelling of 10400162000 in words is "ten billion, four hundred million, one hundred sixty-two thousand".