5909099040 has 432 divisors, whose sum is σ = 22602100248. Its totient is φ = 1451188224.

The previous prime is 5909099033. The next prime is 5909099041. The reversal of 5909099040 is 409909095.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2393557776 + 3515541264 = 48924^2 + 59292^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×5909099040³ (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 not an unprimeable number, because it can be changed into a prime (5909099041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646664 + ... + 13647096.

Almost surely, 2^5909099040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5909099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301050124).

5909099040 is an abundant number, since it is smaller than the sum of its proper divisors (16693001208).

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

5909099040 is an equidigital number, since it uses as much as digits as its factorization.

5909099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 5909099040 is about 76870.6643655432. The cubic root of 5909099040 is about 1807.8973007946.

The spelling of 5909099040 in words is "five billion, nine hundred nine million, ninety-nine thousand, forty".