4006671284000 has 1536 divisors, whose sum is σ = 13371564810240. Its totient is φ = 1142636544000.

The previous prime is 4006671283991. The next prime is 4006671284003. The reversal of 4006671284000 is 4821766004.

4006671284000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (4006671284003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35457267944 + ... + 35457268056.

It is an arithmetic number, because the mean of its divisors is an integer number (8705445840).

Almost surely, 2^{4006671284000} is an apocalyptic number.

4006671284000 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 4006671284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685782405120).

4006671284000 is an abundant number, since it is smaller than the sum of its proper divisors (9364893526240).

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

4006671284000 is a wasteful number, since it uses less digits than its factorization.

4006671284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 4006671284000 in words is "four trillion, six billion, six hundred seventy-one million, two hundred eighty-four thousand".