71123237640 has 1152 divisors, whose sum is σ = 306345162240. Its totient is φ = 13980155904.

The previous prime is 71123237623. The next prime is 71123237677. The reversal of 71123237640 is 4673232117.

71123237640 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 3 + 2 + 3 + 7 + 640 = 666.

It is a super-3 number, since 3×71123237640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71123237595 and 71123237604.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 519147652 + ... + 519147788.

It is an arithmetic number, because the mean of its divisors is an integer number (265924620).

Almost surely, 2^71123237640 is an apocalyptic number.

71123237640 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 71123237640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153172581120).

71123237640 is an abundant number, since it is smaller than the sum of its proper divisors (235221924600).

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

71123237640 is a wasteful number, since it uses less digits than its factorization.

71123237640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 71123237640 its reverse (4673232117), we get a palindrome (75796469757).

The spelling of 71123237640 in words is "seventy-one billion, one hundred twenty-three million, two hundred thirty-seven thousand, six hundred forty".