71043035904 has 576 divisors, whose sum is σ = 235374612480. Its totient is φ = 21021327360.

The previous prime is 71043035897. The next prime is 71043035923. The reversal of 71043035904 is 40953034017.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×71043035904² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 262151289 + ... + 262151559.

It is an arithmetic number, because the mean of its divisors is an integer number (408636480).

Almost surely, 2^71043035904 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 71043035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117687306240).

71043035904 is an abundant number, since it is smaller than the sum of its proper divisors (164331576576).

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

71043035904 is a wasteful number, since it uses less digits than its factorization.

71043035904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 71043035904 in words is "seventy-one billion, forty-three million, thirty-five thousand, nine hundred four".