71004941280 has 768 divisors, whose sum is σ = 319206666240. Its totient is φ = 14328078336.

The previous prime is 71004941239. The next prime is 71004941323. The reversal of 71004941280 is 8214940017.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9037834 + ... + 9045686.

It is an arithmetic number, because the mean of its divisors is an integer number (415633680).

Almost surely, 2^71004941280 is an apocalyptic number.

71004941280 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 71004941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159603333120).

71004941280 is an abundant number, since it is smaller than the sum of its proper divisors (248201724960).

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

71004941280 is a wasteful number, since it uses less digits than its factorization.

71004941280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7906 counting only the distinct ones).

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

The spelling of 71004941280 in words is "seventy-one billion, four million, nine hundred forty-one thousand, two hundred eighty".