71273354040 has 768 divisors, whose sum is σ = 295823923200. Its totient is φ = 14506905600.

The previous prime is 71273354039. The next prime is 71273354069. The reversal of 71273354040 is 4045337217.

71273354040 is a `hidden beast` number, since 7 + 1 + 2 + 73 + 3 + 540 + 40 = 666.

It is a super-2 number, since 2×71273354040² (a number of 23 digits) contains 22 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 = 71273353986 and 71273354004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67175110 + ... + 67176170.

It is an arithmetic number, because the mean of its divisors is an integer number (385187400).

Almost surely, 2^71273354040 is an apocalyptic number.

71273354040 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 71273354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147911961600).

71273354040 is an abundant number, since it is smaller than the sum of its proper divisors (224550569160).

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

71273354040 is a wasteful number, since it uses less digits than its factorization.

71273354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 71273354040 in words is "seventy-one billion, two hundred seventy-three million, three hundred fifty-four thousand, forty".