4003777377768 has 128 divisors (see below), whose sum is σ = 11501228344320. Its totient is φ = 1137760888320.

The previous prime is 4003777377767. The next prime is 4003777377823. The reversal of 4003777377768 is 8677737773004.

It is a junction number, because it is equal to n+sod(n) for n = 4003777377699 and 4003777377708.

It is not an unprimeable number, because it can be changed into a prime (4003777377767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35447223 + ... + 35559993.

It is an arithmetic number, because the mean of its divisors is an integer number (89853346440).

Almost surely, 2^{4003777377768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003777377768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750614172160).

4003777377768 is an abundant number, since it is smaller than the sum of its proper divisors (7497450966552).

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

4003777377768 is a wasteful number, since it uses less digits than its factorization.

4003777377768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113927 (or 113923 counting only the distinct ones).

The product of its (nonzero) digits is 203297472, while the sum is 66.

The spelling of 4003777377768 in words is "four trillion, three billion, seven hundred seventy-seven million, three hundred seventy-seven thousand, seven hundred sixty-eight".