71934114840 has 384 divisors, whose sum is σ = 267002956800. Its totient is φ = 15405035520.

The previous prime is 71934114803. The next prime is 71934114841. The reversal of 71934114840 is 4841143917.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71934114792 and 71934114801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71934114841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23888935 + ... + 23891945.

It is an arithmetic number, because the mean of its divisors is an integer number (695320200).

Almost surely, 2^71934114840 is an apocalyptic number.

71934114840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71934114840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133501478400).

71934114840 is an abundant number, since it is smaller than the sum of its proper divisors (195068841960).

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

71934114840 is a wasteful number, since it uses less digits than its factorization.

71934114840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 71934114840 in words is "seventy-one billion, nine hundred thirty-four million, one hundred fourteen thousand, eight hundred forty".