4049782603776 has 1408 divisors, whose sum is σ = 15602849619840. Its totient is φ = 1021636509696.

The previous prime is 4049782603771. The next prime is 4049782603781. The reversal of 4049782603776 is 6773062879404.

It is a happy number.

4049782603776 is a `hidden beast` number, since 4 + 0 + 497 + 82 + 60 + 3 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4049782603771) and next prime (4049782603781).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4049782603771) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 176077504501 + ... + 176077504523.

Almost surely, 2^{4049782603776} is an apocalyptic number.

4049782603776 is a gapful number since it is divisible by the number (46) 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 4049782603776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801424809920).

4049782603776 is an abundant number, since it is smaller than the sum of its proper divisors (11553067016064).

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

4049782603776 is an frugal number, since it uses more digits than its factorization.

4049782603776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4049782603776 in words is "four trillion, forty-nine billion, seven hundred eighty-two million, six hundred three thousand, seven hundred seventy-six".