8965261440 has 384 divisors, whose sum is σ = 34003307520. Its totient is φ = 2249441280.

The previous prime is 8965261429. The next prime is 8965261441. The reversal of 8965261440 is 441625698.

8965261440 is a `hidden beast` number, since 89 + 6 + 526 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8965261441) 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, 2642145 + ... + 2645535.

It is an arithmetic number, because the mean of its divisors is an integer number (88550280).

Almost surely, 2^8965261440 is an apocalyptic number.

8965261440 is a gapful number since it is divisible by the number (80) 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 8965261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001653760).

8965261440 is an abundant number, since it is smaller than the sum of its proper divisors (25038046080).

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

8965261440 is a wasteful number, since it uses less digits than its factorization.

8965261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8965261440 is about 94685.0645033313. The cubic root of 8965261440 is about 2077.4041087516.

The spelling of 8965261440 in words is "eight billion, nine hundred sixty-five million, two hundred sixty-one thousand, four hundred forty".