71941968400 has 45 divisors (see below), whose sum is σ = 172853468013. Its totient is φ = 28774641600.

The previous prime is 71941968359. The next prime is 71941968401. The reversal of 71941968400 is 486914917.

The square root of 71941968400 is 268220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25899108624 + 46042859776 = 160932^2 + 214576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71941968401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5357695 + ... + 5371105.

Almost surely, 2^71941968400 is an apocalyptic number.

71941968400 is the 268220-th square number.

It is an amenable number.

71941968400 is an abundant number, since it is smaller than the sum of its proper divisors (100911499613).

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

71941968400 is an frugal number, since it uses more digits than its factorization.

71941968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26840 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 71941968400 by its sum of digits (49), we get a square (3525156451600 = 1877540²).

The spelling of 71941968400 in words is "seventy-one billion, nine hundred forty-one million, nine hundred sixty-eight thousand, four hundred".