1006946424000 has 1792 divisors, whose sum is σ = 4206813511680. Its totient is φ = 233694720000.

The previous prime is 1006946423981. The next prime is 1006946424019. The reversal of 1006946424000 is 4246496001.

1006946424000 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 9 + 4 + 642 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1006946423981) and next prime (1006946424019).

It is a super-2 number, since 2×1006946424000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 7928711937 + ... + 7928712063.

Almost surely, 2^{1006946424000} is an apocalyptic number.

1006946424000 is a gapful number since it is divisible by the number (10) 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 1006946424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103406755840).

1006946424000 is an abundant number, since it is smaller than the sum of its proper divisors (3199867087680).

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

1006946424000 is a wasteful number, since it uses less digits than its factorization.

1006946424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1006946424000 in words is "one trillion, six billion, nine hundred forty-six million, four hundred twenty-four thousand".