4272778944 has 224 divisors, whose sum is σ = 14745167360. Its totient is φ = 1187675136.

The previous prime is 4272778933. The next prime is 4272778969. The reversal of 4272778944 is 4498772724.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 442779 + ... + 452325.

It is an arithmetic number, because the mean of its divisors is an integer number (65826640).

Almost surely, 2^4272778944 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 4272778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372583680).

4272778944 is an abundant number, since it is smaller than the sum of its proper divisors (10472388416).

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

4272778944 is a wasteful number, since it uses less digits than its factorization.

4272778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9596 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 4272778944 is about 65366.4971066983. The cubic root of 4272778944 is about 1622.6946648011.

The spelling of 4272778944 in words is "four billion, two hundred seventy-two million, seven hundred seventy-eight thousand, nine hundred forty-four".