71129849898240 has 4032 divisors, whose sum is σ = 315017695641600. Its totient is φ = 15354108887040.

The previous prime is 71129849898223. The next prime is 71129849898251. The reversal of 71129849898240 is 4289894892117.

71129849898240 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 9 + 8 + 498 + 98 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 664764952267 + ... + 664764952373.

It is an arithmetic number, because the mean of its divisors is an integer number (78129388800).

Almost surely, 2^{71129849898240} is an apocalyptic number.

71129849898240 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 71129849898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157508847820800).

71129849898240 is an abundant number, since it is smaller than the sum of its proper divisors (243887845743360).

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

71129849898240 is an equidigital number, since it uses as much as digits as its factorization.

71129849898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 71129849898240 in words is "seventy-one trillion, one hundred twenty-nine billion, eight hundred forty-nine million, eight hundred ninety-eight thousand, two hundred forty".