71413712370 has 1152 divisors, whose sum is σ = 277570395648. Its totient is φ = 12809871360.

The previous prime is 71413712351. The next prime is 71413712389. The reversal of 71413712370 is 7321731417.

It is a happy number.

71413712370 is a `hidden beast` number, since 7 + 1 + 413 + 7 + 1 + 237 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71413712351) and next prime (71413712389).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 454864332 + ... + 454864488.

It is an arithmetic number, because the mean of its divisors is an integer number (240946524).

Almost surely, 2^71413712370 is an apocalyptic number.

71413712370 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71413712370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138785197824).

71413712370 is an abundant number, since it is smaller than the sum of its proper divisors (206156683278).

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

71413712370 is a wasteful number, since it uses less digits than its factorization.

71413712370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 71413712370 in words is "seventy-one billion, four hundred thirteen million, seven hundred twelve thousand, three hundred seventy".