4081477914720 has 288 divisors, whose sum is σ = 15090305342112. Its totient is φ = 1000548089856.

The previous prime is 4081477914649. The next prime is 4081477914809. The reversal of 4081477914720 is 274197741804.

4081477914720 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 477 + 9 + 147 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 886047 + ... + 2991326.

It is an arithmetic number, because the mean of its divisors is an integer number (52396893549).

Almost surely, 2^{4081477914720} is an apocalyptic number.

4081477914720 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 4081477914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545152671056).

4081477914720 is an abundant number, since it is smaller than the sum of its proper divisors (11008827427392).

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

4081477914720 is a wasteful number, since it uses less digits than its factorization.

4081477914720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877454 (or 3877443 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 4081477914720 in words is "four trillion, eighty-one billion, four hundred seventy-seven million, nine hundred fourteen thousand, seven hundred twenty".