10413222410000 has 200 divisors, whose sum is σ = 25613566085184. Its totient is φ = 4098980160000.

The previous prime is 10413222409979. The next prime is 10413222410027. The reversal of 10413222410000 is 1422231401.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 712202690 + ... + 712217310.

Almost surely, 2^{10413222410000} is an apocalyptic number.

10413222410000 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 10413222410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806783042592).

10413222410000 is an abundant number, since it is smaller than the sum of its proper divisors (15200343675184).

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

10413222410000 is a wasteful number, since it uses less digits than its factorization.

10413222410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15779 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10413222410000 its reverse (1422231401), we get a palindrome (10414644641401).

The spelling of 10413222410000 in words is "ten trillion, four hundred thirteen billion, two hundred twenty-two million, four hundred ten thousand".