413274122496 has 243 divisors, whose sum is σ = 1217472820291. Its totient is φ = 134826580992.

The previous prime is 413274122467. The next prime is 413274122543. The reversal of 413274122496 is 694221472314.

The square root of 413274122496 is 642864.

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

413274122496 is a `hidden beast` number, since 4 + 1 + 32 + 7 + 4 + 122 + 496 = 666.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1820590735 + ... + 1820590961.

Almost surely, 2^413274122496 is an apocalyptic number.

413274122496 is the 642864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413274122496

413274122496 is an abundant number, since it is smaller than the sum of its proper divisors (804198697795).

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

413274122496 is an frugal number, since it uses more digits than its factorization.

413274122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 291 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 413274122496 in words is "four hundred thirteen billion, two hundred seventy-four million, one hundred twenty-two thousand, four hundred ninety-six".