4265917440 has 396 divisors, whose sum is σ = 14976719928. Its totient is φ = 1036124160.

The previous prime is 4265917421. The next prime is 4265917441. The reversal of 4265917440 is 447195624.

It is a junction number, because it is equal to n+sod(n) for n = 4265917392 and 4265917401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265917441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137610225 + ... + 137610255.

Almost surely, 2^4265917440 is an apocalyptic number.

4265917440 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 4265917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488359964).

4265917440 is an abundant number, since it is smaller than the sum of its proper divisors (10710802488).

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

4265917440 is a wasteful number, since it uses less digits than its factorization.

4265917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4265917440 is about 65313.9911504419. The cubic root of 4265917440 is about 1621.8255901803.

The spelling of 4265917440 in words is "four billion, two hundred sixty-five million, nine hundred seventeen thousand, four hundred forty".