71225917440 has 240 divisors, whose sum is σ = 235293273600. Its totient is φ = 18378915840.

The previous prime is 71225917429. The next prime is 71225917453. The reversal of 71225917440 is 4471952217.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 71225917392 and 71225917401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7613886 + ... + 7623234.

It is an arithmetic number, because the mean of its divisors is an integer number (980388640).

Almost surely, 2^71225917440 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 71225917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117646636800).

71225917440 is an abundant number, since it is smaller than the sum of its proper divisors (164067356160).

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

71225917440 is an equidigital number, since it uses as much as digits as its factorization.

71225917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9390 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 71225917440 in words is "seventy-one billion, two hundred twenty-five million, nine hundred seventeen thousand, four hundred forty".