10419509776 has 75 divisors (see below), whose sum is σ = 22015851963. Its totient is φ = 4777156800.

The previous prime is 10419509773. The next prime is 10419509813. The reversal of 10419509776 is 67790591401.

The square root of 10419509776 is 102076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5166159376 + 5253350400 = 71876^2 + 72480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10419509773) 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 14 ways as a sum of consecutive naturals, for example, 69003301 + ... + 69003451.

Almost surely, 2^10419509776 is an apocalyptic number.

10419509776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10419509776 is the 102076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10419509776

10419509776 is an abundant number, since it is smaller than the sum of its proper divisors (11596342187).

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

10419509776 is an frugal number, since it uses more digits than its factorization.

10419509776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

Multiplying 10419509776 by its sum of digits (49), we get a square (510555979024 = 714532²).

The spelling of 10419509776 in words is "ten billion, four hundred nineteen million, five hundred nine thousand, seven hundred seventy-six".