10400212224 has 108 divisors (see below), whose sum is σ = 30366481600. Its totient is φ = 3422794752.

The previous prime is 10400212201. The next prime is 10400212321. The reversal of 10400212224 is 42221200401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10400212197 and 10400212206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153447 + ... + 210585.

Almost surely, 2^10400212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183240800).

10400212224 is an abundant number, since it is smaller than the sum of its proper divisors (19966269376).

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

10400212224 is an equidigital number, since it uses as much as digits as its factorization.

10400212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57240 (or 57223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10400212224 its reverse (42221200401), we get a palindrome (52621412625).

The spelling of 10400212224 in words is "ten billion, four hundred million, two hundred twelve thousand, two hundred twenty-four".