71241206400 has 2304 divisors, whose sum is σ = 349965100800. Its totient is φ = 13801881600.

The previous prime is 71241206389. The next prime is 71241206431. The reversal of 71241206400 is 460214217.

71241206400 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 12 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1737590380 + ... + 1737590420.

It is an arithmetic number, because the mean of its divisors is an integer number (151894575).

Almost surely, 2^71241206400 is an apocalyptic number.

71241206400 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 71241206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174982550400).

71241206400 is an abundant number, since it is smaller than the sum of its proper divisors (278723894400).

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

71241206400 is a wasteful number, since it uses less digits than its factorization.

71241206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 71241206400 in words is "seventy-one billion, two hundred forty-one million, two hundred six thousand, four hundred".