71133705446400 has 495 divisors, whose sum is σ = 263444727307179. Its totient is φ = 18965749432320.

The previous prime is 71133705446383. The next prime is 71133705446417. The reversal of 71133705446400 is 464450733117.

The square root of 71133705446400 is 8434080.

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

71133705446400 is a `hidden beast` number, since 7 + 1 + 1 + 33 + 70 + 544 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71133705446383) and next prime (71133705446417).

It can be written as a sum of positive squares in 4 ways, for example, as 11185974567936 + 59947730878464 = 3344544^2 + 7742592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12145072272 + ... + 12145078128.

Almost surely, 2^{71133705446400} is an apocalyptic number.

71133705446400 is the 8434080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71133705446400

71133705446400 is an abundant number, since it is smaller than the sum of its proper divisors (192311021860779).

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

71133705446400 is an frugal number, since it uses more digits than its factorization.

71133705446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 71133705446400 in words is "seventy-one trillion, one hundred thirty-three billion, seven hundred five million, four hundred forty-six thousand, four hundred".