4006679040000 has 3120 divisors, whose sum is σ = 18730916688000. Its totient is φ = 845365248000.

The previous prime is 4006679039999. The next prime is 4006679040017. The reversal of 4006679040000 is 409766004.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 308206079994 + ... + 308206080006.

Almost surely, 2^{4006679040000} is an apocalyptic number.

4006679040000 is a gapful number since it is divisible by the number (40) 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 4006679040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365458344000).

4006679040000 is an abundant number, since it is smaller than the sum of its proper divisors (14724237648000).

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

4006679040000 is an frugal number, since it uses more digits than its factorization.

4006679040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 4006679040000 in words is "four trillion, six billion, six hundred seventy-nine million, forty thousand".