3966088458240 has 832 divisors, whose sum is σ = 14481462583680. Its totient is φ = 1042275631104.

The previous prime is 3966088458239. The next prime is 3966088458271. The reversal of 3966088458240 is 428548806693.

3966088458240 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 0 + 8 + 8 + 4 + 582 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3269651874 + ... + 3269653086.

Almost surely, 2^{3966088458240} is an apocalyptic number.

3966088458240 is a gapful number since it is divisible by the number (30) 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 3966088458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240731291840).

3966088458240 is an abundant number, since it is smaller than the sum of its proper divisors (10515374125440).

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

3966088458240 is an frugal number, since it uses more digits than its factorization.

3966088458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3966088458240 in words is "three trillion, nine hundred sixty-six billion, eighty-eight million, four hundred fifty-eight thousand, two hundred forty".