10422411600 has 240 divisors, whose sum is σ = 34496363520. Its totient is φ = 2687846400.

The previous prime is 10422411581. The next prime is 10422411611. The reversal of 10422411600 is 611422401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479786 + ... + 8481014.

It is an arithmetic number, because the mean of its divisors is an integer number (143734848).

Almost surely, 2^10422411600 is an apocalyptic number.

10422411600 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 10422411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248181760).

10422411600 is an abundant number, since it is smaller than the sum of its proper divisors (24073951920).

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

10422411600 is a wasteful number, since it uses less digits than its factorization.

10422411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 10422411600 in words is "ten billion, four hundred twenty-two million, four hundred eleven thousand, six hundred".