71861923440 has 480 divisors, whose sum is σ = 265304894400. Its totient is φ = 18045296640.

The previous prime is 71861923429. The next prime is 71861923447. The reversal of 71861923440 is 4432916817.

71861923440 is a `hidden beast` number, since 7 + 1 + 8 + 619 + 23 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71861923447) 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, 23112606 + ... + 23115714.

It is an arithmetic number, because the mean of its divisors is an integer number (552718530).

Almost surely, 2^71861923440 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 71861923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132652447200).

71861923440 is an abundant number, since it is smaller than the sum of its proper divisors (193442970960).

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

71861923440 is a wasteful number, since it uses less digits than its factorization.

71861923440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 71861923440 in words is "seventy-one billion, eight hundred sixty-one million, nine hundred twenty-three thousand, four hundred forty".