71201225040 has 160 divisors (see below), whose sum is σ = 241187884416. Its totient is φ = 17232353280.

The previous prime is 71201225033. The next prime is 71201225057. The reversal of 71201225040 is 4052210217.

It is a super-2 number, since 2×71201225040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71201225040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596322 + ... + 1640318.

Almost surely, 2^71201225040 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 71201225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120593942208).

71201225040 is an abundant number, since it is smaller than the sum of its proper divisors (169986659376).

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

71201225040 is a wasteful number, since it uses less digits than its factorization.

71201225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44637 (or 44631 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 71201225040 its reverse (4052210217), we get a palindrome (75253435257).

The spelling of 71201225040 in words is "seventy-one billion, two hundred one million, two hundred twenty-five thousand, forty".