4289747040 has 288 divisors, whose sum is σ = 15982686720. Its totient is φ = 1083538944.

The previous prime is 4289747029. The next prime is 4289747081. The reversal of 4289747040 is 407479824.

4289747040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×4289747040³ (a number of 30 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735817 + ... + 741623.

It is an arithmetic number, because the mean of its divisors is an integer number (55495440).

Almost surely, 2^4289747040 is an apocalyptic number.

4289747040 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 4289747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991343360).

4289747040 is an abundant number, since it is smaller than the sum of its proper divisors (11692939680).

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

4289747040 is a wasteful number, since it uses less digits than its factorization.

4289747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4289747040 is about 65496.1604981544. The cubic root of 4289747040 is about 1624.8398472541.

The spelling of 4289747040 in words is "four billion, two hundred eighty-nine million, seven hundred forty-seven thousand, forty".