10424494080 has 1152 divisors, whose sum is σ = 48938722560. Its totient is φ = 1981808640.

The previous prime is 10424494049. The next prime is 10424494081. The reversal of 10424494080 is 8049442401.

10424494080 is a `hidden beast` number, since 1 + 0 + 4 + 244 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (10424494081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92252104 + ... + 92252216.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^10424494080 is an apocalyptic number.

10424494080 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 10424494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469361280).

10424494080 is an abundant number, since it is smaller than the sum of its proper divisors (38514228480).

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

10424494080 is a wasteful number, since it uses less digits than its factorization.

10424494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 1042449 and 4080, that added together give a square (1046529 = 1023²).

The spelling of 10424494080 in words is "ten billion, four hundred twenty-four million, four hundred ninety-four thousand, eighty".