4077381440256 has 144 divisors (see below), whose sum is σ = 11166198341760. Its totient is φ = 1320101314560.

The previous prime is 4077381440243. The next prime is 4077381440257. The reversal of 4077381440256 is 6520441837704.

It is a junction number, because it is equal to n+sod(n) for n = 4077381440199 and 4077381440208.

It is not an unprimeable number, because it can be changed into a prime (4077381440257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5566416 + ... + 6256176.

It is an arithmetic number, because the mean of its divisors is an integer number (77543044040).

Almost surely, 2^{4077381440256} 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 4077381440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583099170880).

4077381440256 is an abundant number, since it is smaller than the sum of its proper divisors (7088816901504).

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

4077381440256 is a wasteful number, since it uses less digits than its factorization.

4077381440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690002 (or 689988 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 4077381440256 in words is "four trillion, seventy-seven billion, three hundred eighty-one million, four hundred forty thousand, two hundred fifty-six".