4289725440 has 1408 divisors, whose sum is σ = 21128970240. Its totient is φ = 796262400.

The previous prime is 4289725439. The next prime is 4289725457. The reversal of 4289725440 is 445279824.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378225 + ... + 138378255.

Almost surely, 2^4289725440 is an apocalyptic number.

4289725440 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 4289725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564485120).

4289725440 is an abundant number, since it is smaller than the sum of its proper divisors (16839244800).

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

4289725440 is a wasteful number, since it uses less digits than its factorization.

4289725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4289725440 is about 65495.9956027848. The cubic root of 4289725440 is about 1624.8371200847.

The spelling of 4289725440 in words is "four billion, two hundred eighty-nine million, seven hundred twenty-five thousand, four hundred forty".