4006716452000 has 48 divisors (see below), whose sum is σ = 9844502332392. Its totient is φ = 1602686579200.

The previous prime is 4006716451999. The next prime is 4006716452099. The reversal of 4006716452000 is 2546176004.

It can be written as a sum of positive squares in 4 ways, for example, as 1971631605904 + 2035084846096 = 1404148^2 + 1426564^2 .

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 7 ways as a sum of consecutive naturals, for example, 500835557 + ... + 500843556.

Almost surely, 2^{4006716452000} is an apocalyptic number.

4006716452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006716452000 is an abundant number, since it is smaller than the sum of its proper divisors (5837785880392).

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

4006716452000 is a wasteful number, since it uses less digits than its factorization.

4006716452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001679138 (or 1001679120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 4006716452000 in words is "four trillion, six billion, seven hundred sixteen million, four hundred fifty-two thousand".