71120346017280 has 640 divisors, whose sum is σ = 260919108679680. Its totient is φ = 16188881633280.

The previous prime is 71120346017261. The next prime is 71120346017309. The reversal of 71120346017280 is 8271064302117.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32021766570 + ... + 32021768790.

It is an arithmetic number, because the mean of its divisors is an integer number (407686107312).

Almost surely, 2^{71120346017280} is an apocalyptic number.

71120346017280 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 71120346017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130459554339840).

71120346017280 is an abundant number, since it is smaller than the sum of its proper divisors (189798762662400).

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

71120346017280 is a wasteful number, since it uses less digits than its factorization.

71120346017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 71120346017280 in words is "seventy-one trillion, one hundred twenty billion, three hundred forty-six million, seventeen thousand, two hundred eighty".