71416404000 has 240 divisors, whose sum is σ = 262123197336. Its totient is φ = 19044288000.

The previous prime is 71416403969. The next prime is 71416404001. The reversal of 71416404000 is 40461417.

71416404000 is a `hidden beast` number, since 7 + 14 + 1 + 640 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6324066576 + 65092337424 = 79524^2 + 255132^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (71416404001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213790 + ... + 434210.

Almost surely, 2^71416404000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71416404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131061598668).

71416404000 is an abundant number, since it is smaller than the sum of its proper divisors (190706793336).

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

71416404000 is a wasteful number, since it uses less digits than its factorization.

71416404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220458 (or 220431 counting only the distinct ones).

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

Adding to 71416404000 its reverse (40461417), we get a palindrome (71456865417).

The spelling of 71416404000 in words is "seventy-one billion, four hundred sixteen million, four hundred four thousand".