71146131840 has 1024 divisors, whose sum is σ = 304570368000. Its totient is φ = 15345082368.

The previous prime is 71146131829. The next prime is 71146131853. The reversal of 71146131840 is 4813164117.

71146131840 is a `hidden beast` number, since 7 + 11 + 461 + 3 + 184 + 0 = 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 = 71146131795 and 71146131804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297682441 + ... + 297682679.

It is an arithmetic number, because the mean of its divisors is an integer number (297432000).

Almost surely, 2^71146131840 is an apocalyptic number.

71146131840 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 71146131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152285184000).

71146131840 is an abundant number, since it is smaller than the sum of its proper divisors (233424236160).

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

71146131840 is a wasteful number, since it uses less digits than its factorization.

71146131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 71146131840 its reverse (4813164117), we get a palindrome (75959295957).

The spelling of 71146131840 in words is "seventy-one billion, one hundred forty-six million, one hundred thirty-one thousand, eight hundred forty".