71461341000 has 384 divisors, whose sum is σ = 278651093760. Its totient is φ = 16179840000.

The previous prime is 71461340999. The next prime is 71461341001. The reversal of 71461341000 is 14316417.

It is a happy number.

71461341000 is a `hidden beast` number, since 7 + 1 + 4 + 613 + 41 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71461340999) and next prime (71461341001).

It is not an unprimeable number, because it can be changed into a prime (71461341001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6735700 + ... + 6746300.

It is an arithmetic number, because the mean of its divisors is an integer number (725653890).

Almost surely, 2^71461341000 is an apocalyptic number.

71461341000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71461341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139325546880).

71461341000 is an abundant number, since it is smaller than the sum of its proper divisors (207189752760).

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

71461341000 is a wasteful number, since it uses less digits than its factorization.

71461341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 71461341000 its reverse (14316417), we get a palindrome (71475657417).

The spelling of 71461341000 in words is "seventy-one billion, four hundred sixty-one million, three hundred forty-one thousand".