4077403677440 has 144 divisors (see below), whose sum is σ = 9868958779680. Its totient is φ = 1613896089600.

The previous prime is 4077403677437. The next prime is 4077403677509. The reversal of 4077403677440 is 447763047704.

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 15 ways as a sum of consecutive naturals, for example, 255837152 + ... + 255853088.

It is an arithmetic number, because the mean of its divisors is an integer number (68534435970).

Almost surely, 2^{4077403677440} is an apocalyptic number.

4077403677440 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 4077403677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934479389840).

4077403677440 is an abundant number, since it is smaller than the sum of its proper divisors (5791555102240).

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

4077403677440 is a wasteful number, since it uses less digits than its factorization.

4077403677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 53.

The spelling of 4077403677440 in words is "four trillion, seventy-seven billion, four hundred three million, six hundred seventy-seven thousand, four hundred forty".