1006666415040 has 224 divisors, whose sum is σ = 3754936636416. Its totient is φ = 225267978240.

The previous prime is 1006666415033. The next prime is 1006666415129. The reversal of 1006666415040 is 405146666001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1006666415040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3529192 + ... + 3803751.

It is an arithmetic number, because the mean of its divisors is an integer number (16763109984).

Almost surely, 2^{1006666415040} is an apocalyptic number.

1006666415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006666415040 is an abundant number, since it is smaller than the sum of its proper divisors (2748270221376).

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

1006666415040 is a wasteful number, since it uses less digits than its factorization.

1006666415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332987 (or 7332977 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1006666415040 in words is "one trillion, six billion, six hundred sixty-six million, four hundred fifteen thousand, forty".