71406821376 has 392 divisors, whose sum is σ = 233788817664. Its totient is φ = 21618524160.

The previous prime is 71406821347. The next prime is 71406821393. The reversal of 71406821376 is 67312860417.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 65691105 + ... + 65692191.

Almost surely, 2^71406821376 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 71406821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116894408832).

71406821376 is an abundant number, since it is smaller than the sum of its proper divisors (162381996288).

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

71406821376 is an equidigital number, since it uses as much as digits as its factorization.

71406821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 71406821376 in words is "seventy-one billion, four hundred six million, eight hundred twenty-one thousand, three hundred seventy-six".