71495472400 has 480 divisors, whose sum is σ = 208395233280. Its totient is φ = 23330419200.

The previous prime is 71495472379. The next prime is 71495472427. The reversal of 71495472400 is 427459417.

It is a super-2 number, since 2×71495472400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694130749 + ... + 694130851.

It is an arithmetic number, because the mean of its divisors is an integer number (434156736).

Almost surely, 2^71495472400 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 71495472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104197616640).

71495472400 is an abundant number, since it is smaller than the sum of its proper divisors (136899760880).

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

71495472400 is a wasteful number, since it uses less digits than its factorization.

71495472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 71495472400 in words is "seventy-one billion, four hundred ninety-five million, four hundred seventy-two thousand, four hundred".