71091431424 has 288 divisors, whose sum is σ = 222263364960. Its totient is φ = 21761261568.

The previous prime is 71091431393. The next prime is 71091431471. The reversal of 71091431424 is 42413419017.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54392179 + ... + 54393485.

It is an arithmetic number, because the mean of its divisors is an integer number (771747795).

Almost surely, 2^71091431424 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 71091431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111131682480).

71091431424 is an abundant number, since it is smaller than the sum of its proper divisors (151171933536).

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

71091431424 is a wasteful number, since it uses less digits than its factorization.

71091431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71091431424 in words is "seventy-one billion, ninety-one million, four hundred thirty-one thousand, four hundred twenty-four".