71221452400 has 240 divisors, whose sum is σ = 207609212160. Its totient is φ = 22921113600.

The previous prime is 71221452391. The next prime is 71221452413. The reversal of 71221452400 is 425412217.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19942615 + ... + 19946185.

It is an arithmetic number, because the mean of its divisors is an integer number (865038384).

Almost surely, 2^71221452400 is an apocalyptic number.

71221452400 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 71221452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103804606080).

71221452400 is an abundant number, since it is smaller than the sum of its proper divisors (136387759760).

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

71221452400 is a wasteful number, since it uses less digits than its factorization.

71221452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 71221452400 its reverse (425412217), we get a palindrome (71646864617).

The spelling of 71221452400 in words is "seventy-one billion, two hundred twenty-one million, four hundred fifty-two thousand, four hundred".