4264849440 has 288 divisors, whose sum is σ = 15487355520. Its totient is φ = 1065664512.

The previous prime is 4264849429. The next prime is 4264849447. The reversal of 4264849440 is 449484624.

4264849440 is a `hidden beast` number, since 42 + 6 + 484 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4264849447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653117 + ... + 2654723.

It is an arithmetic number, because the mean of its divisors is an integer number (53775540).

Almost surely, 2^4264849440 is an apocalyptic number.

4264849440 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 4264849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743677760).

4264849440 is an abundant number, since it is smaller than the sum of its proper divisors (11222506080).

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

4264849440 is a wasteful number, since it uses less digits than its factorization.

4264849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4264849440 is about 65305.8147487649. The cubic root of 4264849440 is about 1621.6902340446.

The spelling of 4264849440 in words is "four billion, two hundred sixty-four million, eight hundred forty-nine thousand, four hundred forty".