10223410432410 has 384 divisors, whose sum is σ = 31700411817984. Its totient is φ = 2322199756800.

The previous prime is 10223410432387. The next prime is 10223410432427. The reversal of 10223410432410 is 1423401432201.

10223410432410 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 410 + 4 + 3 + 241 + 0 = 666.

10223410432410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2024034385 + ... + 2024039435.

It is an arithmetic number, because the mean of its divisors is an integer number (82553155776).

Almost surely, 2^{10223410432410} is an apocalyptic number.

10223410432410 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 10223410432410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850205908992).

10223410432410 is an abundant number, since it is smaller than the sum of its proper divisors (21477001385574).

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

10223410432410 is a wasteful number, since it uses less digits than its factorization.

10223410432410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10223410432410 its reverse (1423401432201), we get a palindrome (11646811864611).

The spelling of 10223410432410 in words is "ten trillion, two hundred twenty-three billion, four hundred ten million, four hundred thirty-two thousand, four hundred ten".