71456607040 has 336 divisors, whose sum is σ = 217401891840. Its totient is φ = 21881733120.

The previous prime is 71456607031. The next prime is 71456607043. The reversal of 71456607040 is 4070665417.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 71456606984 and 71456607002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71456607043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11732316 + ... + 11738404.

It is an arithmetic number, because the mean of its divisors is an integer number (647029440).

Almost surely, 2^71456607040 is an apocalyptic number.

71456607040 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 71456607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108700945920).

71456607040 is an abundant number, since it is smaller than the sum of its proper divisors (145945284800).

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

71456607040 is a wasteful number, since it uses less digits than its factorization.

71456607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 71456607040 in words is "seventy-one billion, four hundred fifty-six million, six hundred seven thousand, forty".