71426377344 has 128 divisors (see below), whose sum is σ = 217033315200. Its totient is φ = 20388409344.

The previous prime is 71426377333. The next prime is 71426377397. The reversal of 71426377344 is 44377362417.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71426377293 and 71426377302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2990602 + ... + 3014390.

It is an arithmetic number, because the mean of its divisors is an integer number (1695572775).

Almost surely, 2^71426377344 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 71426377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108516657600).

71426377344 is an abundant number, since it is smaller than the sum of its proper divisors (145606937856).

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

71426377344 is a wasteful number, since it uses less digits than its factorization.

71426377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24930 (or 24918 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 48.

The spelling of 71426377344 in words is "seventy-one billion, four hundred twenty-six million, three hundred seventy-seven thousand, three hundred forty-four".