10419448320 has 120 divisors (see below), whose sum is σ = 36085559796. Its totient is φ = 2778513408.

The previous prime is 10419448313. The next prime is 10419448331. The reversal of 10419448320 is 2384491401.

It is a happy number.

10419448320 is a `hidden beast` number, since 104 + 194 + 48 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9881950464 + 537497856 = 99408^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203077 + ... + 249156.

Almost surely, 2^10419448320 is an apocalyptic number.

10419448320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10419448320 is an abundant number, since it is smaller than the sum of its proper divisors (25666111476).

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

10419448320 is an equidigital number, since it uses as much as digits as its factorization.

10419448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452262 (or 452243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10419448320 in words is "ten billion, four hundred nineteen million, four hundred forty-eight thousand, three hundred twenty".