71465381838400 has 189 divisors, whose sum is σ = 193299186389043. Its totient is φ = 25986058982400.

The previous prime is 71465381838397. The next prime is 71465381838413. The reversal of 71465381838400 is 483818356417.

The square root of 71465381838400 is 8453720.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13838578560576 + 57626803277824 = 3720024^2 + 7591232^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3719627194 + ... + 3719646406.

Almost surely, 2^{71465381838400} is an apocalyptic number.

71465381838400 is the 8453720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71465381838400

71465381838400 is an abundant number, since it is smaller than the sum of its proper divisors (121833804550643).

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

71465381838400 is an frugal number, since it uses more digits than its factorization.

71465381838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38470 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 71465381838400 in words is "seventy-one trillion, four hundred sixty-five billion, three hundred eighty-one million, eight hundred thirty-eight thousand, four hundred".