4009056796800 has 3456 divisors, whose sum is σ = 17949576153600. Its totient is φ = 846692352000.

The previous prime is 4009056796793. The next prime is 4009056796841. The reversal of 4009056796800 is 86976509004.

4009056796800 is a `hidden beast` number, since 400 + 90 + 5 + 6 + 79 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 67950115171 + ... + 67950115229.

It is an arithmetic number, because the mean of its divisors is an integer number (5193743100).

Almost surely, 2^{4009056796800} is an apocalyptic number.

4009056796800 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 4009056796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974788076800).

4009056796800 is an abundant number, since it is smaller than the sum of its proper divisors (13940519356800).

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

4009056796800 is a wasteful number, since it uses less digits than its factorization.

4009056796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4009056796800 in words is "four trillion, nine billion, fifty-six million, seven hundred ninety-six thousand, eight hundred".