71414784000 has 1344 divisors, whose sum is σ = 312578203392. Its totient is φ = 15925248000.

The previous prime is 71414783987. The next prime is 71414784019. The reversal of 71414784000 is 48741417.

71414784000 is a `hidden beast` number, since 7 + 141 + 478 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1741823980 + ... + 1741824020.

It is an arithmetic number, because the mean of its divisors is an integer number (232573068).

Almost surely, 2^71414784000 is an apocalyptic number.

71414784000 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 71414784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156289101696).

71414784000 is an abundant number, since it is smaller than the sum of its proper divisors (241163419392).

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

71414784000 is an frugal number, since it uses more digits than its factorization.

71414784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 71414784000 in words is "seventy-one billion, four hundred fourteen million, seven hundred eighty-four thousand".