71031292416 has 400 divisors, whose sum is σ = 243391046976. Its totient is φ = 20203167744.

The previous prime is 71031292411. The next prime is 71031292421. The reversal of 71031292416 is 61429213017.

It is an interprime number because it is at equal distance from previous prime (71031292411) and next prime (71031292421).

It is a super-3 number, since 3×71031292416³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71031292411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 89122930 + ... + 89123726.

Almost surely, 2^71031292416 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 71031292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121695523488).

71031292416 is an abundant number, since it is smaller than the sum of its proper divisors (172359754560).

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

71031292416 is an equidigital number, since it uses as much as digits as its factorization.

71031292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 71031292416 in words is "seventy-one billion, thirty-one million, two hundred ninety-two thousand, four hundred sixteen".