71309918400 has 504 divisors, whose sum is σ = 282239435520. Its totient is φ = 15438919680.

The previous prime is 71309918371. The next prime is 71309918453. The reversal of 71309918400 is 481990317.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12126661 + ... + 12132539.

It is an arithmetic number, because the mean of its divisors is an integer number (559998880).

Almost surely, 2^71309918400 is an apocalyptic number.

71309918400 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 71309918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141119717760).

71309918400 is an abundant number, since it is smaller than the sum of its proper divisors (210929517120).

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

71309918400 is a wasteful number, since it uses less digits than its factorization.

71309918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 71309918400 in words is "seventy-one billion, three hundred nine million, nine hundred eighteen thousand, four hundred".