71140126428 has 144 divisors (see below), whose sum is σ = 212574136320. Its totient is φ = 19630339200.

The previous prime is 71140126373. The next prime is 71140126451. The reversal of 71140126428 is 82462104117.

It is a happy number.

71140126428 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 0 + 1 + 2 + 642 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71140126392 and 71140126401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3967363 + ... + 3985253.

It is an arithmetic number, because the mean of its divisors is an integer number (1476209280).

Almost surely, 2^71140126428 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 71140126428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106287068160).

71140126428 is an abundant number, since it is smaller than the sum of its proper divisors (141434009892).

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

71140126428 is a wasteful number, since it uses less digits than its factorization.

71140126428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18448 (or 18443 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 71140126428 in words is "seventy-one billion, one hundred forty million, one hundred twenty-six thousand, four hundred twenty-eight".