71125038420480 has 3840 divisors, whose sum is σ = 308983775772672. Its totient is φ = 15608335564800.

The previous prime is 71125038420427. The next prime is 71125038420487. The reversal of 71125038420480 is 8402483052117.

71125038420480 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 503 + 84 + 20 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×71125038420480² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71125038420487) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 436349928879 + ... + 436349929041.

Almost surely, 2^{71125038420480} 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 71125038420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154491887886336).

71125038420480 is an abundant number, since it is smaller than the sum of its proper divisors (237858737352192).

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

71125038420480 is a wasteful number, since it uses less digits than its factorization.

71125038420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 71125038420480 in words is "seventy-one trillion, one hundred twenty-five billion, thirty-eight million, four hundred twenty thousand, four hundred eighty".