10400210520 has 128 divisors (see below), whose sum is σ = 35930442240. Its totient is φ = 2359019520.

The previous prime is 10400210497. The next prime is 10400210531. The reversal of 10400210520 is 2501200401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10400210520.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62784 + ... + 157296.

It is an arithmetic number, because the mean of its divisors is an integer number (280706580).

Almost surely, 2^10400210520 is an apocalyptic number.

10400210520 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 10400210520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965221120).

10400210520 is an abundant number, since it is smaller than the sum of its proper divisors (25530231720).

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

10400210520 is a wasteful number, since it uses less digits than its factorization.

10400210520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94665 (or 94661 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10400210520 its reverse (2501200401), we get a palindrome (12901410921).

The spelling of 10400210520 in words is "ten billion, four hundred million, two hundred ten thousand, five hundred twenty".