71217001440 has 672 divisors, whose sum is σ = 276112470816. Its totient is φ = 17244057600.

The previous prime is 71217001433. The next prime is 71217001543. The reversal of 71217001440 is 4410071217.

71217001440 is a `hidden beast` number, since 7 + 1 + 217 + 0 + 0 + 1 + 440 = 666.

It is a super-2 number, since 2×71217001440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 101593090 + ... + 101593790.

It is an arithmetic number, because the mean of its divisors is an integer number (410881653).

Almost surely, 2^71217001440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71217001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138056235408).

71217001440 is an abundant number, since it is smaller than the sum of its proper divisors (204895469376).

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

71217001440 is a wasteful number, since it uses less digits than its factorization.

71217001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 71217001440 its reverse (4410071217), we get a palindrome (75627072657).

The spelling of 71217001440 in words is "seventy-one billion, two hundred seventeen million, one thousand, four hundred forty".