71219050416 has 120 divisors (see below), whose sum is σ = 207254807760. Its totient is φ = 23675556096.

The previous prime is 71219050381. The next prime is 71219050447. The reversal of 71219050416 is 61405091217.

71219050416 is a `hidden beast` number, since 7 + 1 + 2 + 190 + 50 + 416 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 1425670 + ... + 1474778.

It is an arithmetic number, because the mean of its divisors is an integer number (1727123398).

Almost surely, 2^71219050416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71219050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103627403880).

71219050416 is an abundant number, since it is smaller than the sum of its proper divisors (136035757344).

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

71219050416 is a wasteful number, since it uses less digits than its factorization.

71219050416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49505 (or 49487 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 71219050416 in words is "seventy-one billion, two hundred nineteen million, fifty thousand, four hundred sixteen".