4277786240 has 256 divisors, whose sum is σ = 12852000000. Its totient is φ = 1352945664.

The previous prime is 4277786239. The next prime is 4277786269. The reversal of 4277786240 is 426877724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853011 + ... + 2854509.

It is an arithmetic number, because the mean of its divisors is an integer number (50203125).

Almost surely, 2^4277786240 is an apocalyptic number.

4277786240 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 4277786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426000000).

4277786240 is an abundant number, since it is smaller than the sum of its proper divisors (8574213760).

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

4277786240 is a wasteful number, since it uses less digits than its factorization.

4277786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 47.

The square root of 4277786240 is about 65404.7875923468. The cubic root of 4277786240 is about 1623.3282993078.

The spelling of 4277786240 in words is "four billion, two hundred seventy-seven million, seven hundred eighty-six thousand, two hundred forty".