10420213213410 has 512 divisors, whose sum is σ = 36485344788480. Its totient is φ = 1832405068800.

The previous prime is 10420213213409. The next prime is 10420213213451. The reversal of 10420213213410 is 1431231202401.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17393109 + ... + 17982231.

It is an arithmetic number, because the mean of its divisors is an integer number (71260439040).

Almost surely, 2^{10420213213410} is an apocalyptic number.

10420213213410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420213213410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242672394240).

10420213213410 is an abundant number, since it is smaller than the sum of its proper divisors (26065131575070).

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

10420213213410 is a wasteful number, since it uses less digits than its factorization.

10420213213410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589214.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10420213213410 its reverse (1431231202401), we get a palindrome (11851444415811).

The spelling of 10420213213410 in words is "ten trillion, four hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand, four hundred ten".