71001421344 has 192 divisors, whose sum is σ = 242444724480. Its totient is φ = 19791267840.

The previous prime is 71001421343. The next prime is 71001421357. The reversal of 71001421344 is 44312410017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71001421343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104802 + ... + 391134.

It is an arithmetic number, because the mean of its divisors is an integer number (1262732940).

Almost surely, 2^71001421344 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 71001421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121222362240).

71001421344 is an abundant number, since it is smaller than the sum of its proper divisors (171443303136).

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

71001421344 is a wasteful number, since it uses less digits than its factorization.

71001421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286400 (or 286386 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 71001421344 in words is "seventy-one billion, one million, four hundred twenty-one thousand, three hundred forty-four".