71406720000 has 1980 divisors, whose sum is σ = 341176863456. Its totient is φ = 14192640000.

The previous prime is 71406719971. The next prime is 71406720013. The reversal of 71406720000 is 2760417.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a super-3 number, since 3×71406720000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3104639989 + ... + 3104640011.

Almost surely, 2^71406720000 is an apocalyptic number.

71406720000 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 71406720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170588431728).

71406720000 is an abundant number, since it is smaller than the sum of its proper divisors (269770143456).

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

71406720000 is a wasteful number, since it uses less digits than its factorization.

71406720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 71406720000 in words is "seventy-one billion, four hundred six million, seven hundred twenty thousand".