10424194560 has 480 divisors, whose sum is σ = 40350229920. Its totient is φ = 2563964928.

The previous prime is 10424194559. The next prime is 10424194567. The reversal of 10424194560 is 6549142401.

10424194560 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 1 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424194567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086396 + ... + 8087684.

It is an arithmetic number, because the mean of its divisors is an integer number (84062979).

Almost surely, 2^10424194560 is an apocalyptic number.

10424194560 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 10424194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175114960).

10424194560 is an abundant number, since it is smaller than the sum of its proper divisors (29926035360).

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

10424194560 is an equidigital number, since it uses as much as digits as its factorization.

10424194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10424194560 in words is "ten billion, four hundred twenty-four million, one hundred ninety-four thousand, five hundred sixty".