71124543939904 has 1344 divisors, whose sum is σ = 195812458394112. Its totient is φ = 25328753049600.

The previous prime is 71124543939901. The next prime is 71124543939907. The reversal of 71124543939904 is 40993934542117.

It is an interprime number because it is at equal distance from previous prime (71124543939901) and next prime (71124543939907).

It is a super-2 number, since 2×71124543939904² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71124543939901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136515439164 + ... + 136515439684.

It is an arithmetic number, because the mean of its divisors is an integer number (145693793448).

Almost surely, 2^{71124543939904} 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 71124543939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97906229197056).

71124543939904 is an abundant number, since it is smaller than the sum of its proper divisors (124687914454208).

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

71124543939904 is a wasteful number, since it uses less digits than its factorization.

71124543939904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 71124543939904 in words is "seventy-one trillion, one hundred twenty-four billion, five hundred forty-three million, nine hundred thirty-nine thousand, nine hundred four".