4006755456000 has 1408 divisors, whose sum is σ = 15432901705728. Its totient is φ = 913489920000.

The previous prime is 4006755455971. The next prime is 4006755456001. The reversal of 4006755456000 is 6545576004.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006755456001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4844927587 + ... + 4844928413.

Almost surely, 2^{4006755456000} is an apocalyptic number.

4006755456000 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 4006755456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716450852864).

4006755456000 is an abundant number, since it is smaller than the sum of its proper divisors (11426146249728).

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

4006755456000 is a wasteful number, since it uses less digits than its factorization.

4006755456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 4006755456000 in words is "four trillion, six billion, seven hundred fifty-five million, four hundred fifty-six thousand".