1426416982929 has 45 divisors (see below), whose sum is σ = 2149332149899. Its totient is φ = 942753960720.

The previous prime is 1426416982919. The next prime is 1426416982997. The reversal of 1426416982929 is 9292896146241.

The square root of 1426416982929 is 1194327.

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

1426416982929 is a `hidden beast` number, since 1 + 42 + 6 + 416 + 98 + 2 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2814833025 + 1423602149904 = 53055^2 + 1193148^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1426416982929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1426416982919) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1408111027 + ... + 1408112039.

Almost surely, 2^{1426416982929} is an apocalyptic number.

1426416982929 is the 1194327-th square number.

1426416982929 is the 597164-th centered octagonal number.

It is an amenable number.

1426416982929 is a deficient number, since it is larger than the sum of its proper divisors (722915166970).

1426416982929 is an frugal number, since it uses more digits than its factorization.

1426416982929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 1147 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 1426416982929 in words is "one trillion, four hundred twenty-six billion, four hundred sixteen million, nine hundred eighty-two thousand, nine hundred twenty-nine".