4009046886000 has 800 divisors, whose sum is σ = 15647595739776. Its totient is φ = 983508480000.

The previous prime is 4009046885971. The next prime is 4009046886071. The reversal of 4009046886000 is 6886409004.

It is a happy number.

4009046886000 is a `hidden beast` number, since 40 + 0 + 90 + 468 + 8 + 60 + 0 + 0 = 666.

4009046886000 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 654962940 + ... + 654969060.

Almost surely, 2^{4009046886000} is an apocalyptic number.

4009046886000 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 4009046886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823797869888).

4009046886000 is an abundant number, since it is smaller than the sum of its proper divisors (11638548853776).

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

4009046886000 is a wasteful number, since it uses less digits than its factorization.

4009046886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4009046886000 in words is "four trillion, nine billion, forty-six million, eight hundred eighty-six thousand".