71229507840 has 180 divisors, whose sum is σ = 254872575804. Its totient is φ = 18994507776.

The previous prime is 71229507823. The next prime is 71229507857. The reversal of 71229507840 is 4870592217.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71229507823) and next prime (71229507857).

It can be written as a sum of positive squares in 2 ways, for example, as 18674862336 + 52554645504 = 136656^2 + 229248^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×71229507840⁴ (a number of 45 digits) contains 4444 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239827 + ... + 447186.

Almost surely, 2^71229507840 is an apocalyptic number.

It is an amenable number.

71229507840 is an abundant number, since it is smaller than the sum of its proper divisors (183643067964).

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

71229507840 is an equidigital number, since it uses as much as digits as its factorization.

71229507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687046 (or 687023 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71229507840 in words is "seventy-one billion, two hundred twenty-nine million, five hundred seven thousand, eight hundred forty".