71424711102420 has 960 divisors, whose sum is σ = 271713460677120. Its totient is φ = 15514599555072.

The previous prime is 71424711102361. The next prime is 71424711102443. The reversal of 71424711102420 is 2420111742417.

71424711102420 is a `hidden beast` number, since 7 + 1 + 42 + 471 + 1 + 102 + 42 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 659776737 + ... + 659884983.

It is an arithmetic number, because the mean of its divisors is an integer number (283034854872).

Almost surely, 2^{71424711102420} 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 71424711102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135856730338560).

71424711102420 is an abundant number, since it is smaller than the sum of its proper divisors (200288749574700).

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

71424711102420 is a wasteful number, since it uses less digits than its factorization.

71424711102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108414 (or 108403 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 71424711102420 its reverse (2420111742417), we get a palindrome (73844822844837).

The spelling of 71424711102420 in words is "seventy-one trillion, four hundred twenty-four billion, seven hundred eleven million, one hundred two thousand, four hundred twenty".