71455740451200 has 2880 divisors, whose sum is σ = 320930230579200. Its totient is φ = 15333416017920.

The previous prime is 71455740451177. The next prime is 71455740451259. The reversal of 71455740451200 is 215404755417.

71455740451200 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 574 + 0 + 4 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 83184796371 + ... + 83184797229.

It is an arithmetic number, because the mean of its divisors is an integer number (111434107840).

Almost surely, 2^{71455740451200} is an apocalyptic number.

71455740451200 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 71455740451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160465115289600).

71455740451200 is an abundant number, since it is smaller than the sum of its proper divisors (249474490128000).

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

71455740451200 is a wasteful number, since it uses less digits than its factorization.

71455740451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 71455740451200 in words is "seventy-one trillion, four hundred fifty-five billion, seven hundred forty million, four hundred fifty-one thousand, two hundred".