10400020000 has 120 divisors (see below), whose sum is σ = 25679242512. Its totient is φ = 4144800000.

The previous prime is 10400019941. The next prime is 10400020021. The reversal of 10400020000 is 2000401.

10400020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 6619215 + ... + 6620785.

Almost surely, 2^10400020000 is an apocalyptic number.

10400020000 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 10400020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839621256).

10400020000 is an abundant number, since it is smaller than the sum of its proper divisors (15279222512).

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

10400020000 is an equidigital number, since it uses as much as digits as its factorization.

10400020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10400020000 its reverse (2000401), we get a palindrome (10402020401).

The spelling of 10400020000 in words is "ten billion, four hundred million, twenty thousand".