4226777280 has 336 divisors, whose sum is σ = 16029175968. Its totient is φ = 1013760000.

The previous prime is 4226777263. The next prime is 4226777311. The reversal of 4226777280 is 827776224.

4226777280 is a `hidden beast` number, since 42 + 267 + 77 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3199020 + ... + 3200340.

Almost surely, 2^4226777280 is an apocalyptic number.

4226777280 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 4226777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014587984).

4226777280 is an abundant number, since it is smaller than the sum of its proper divisors (11802398688).

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

4226777280 is a wasteful number, since it uses less digits than its factorization.

4226777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4226777280 is about 65013.6699471734. The cubic root of 4226777280 is about 1616.8502126722.

The spelling of 4226777280 in words is "four billion, two hundred twenty-six million, seven hundred seventy-seven thousand, two hundred eighty".