5905729440 has 240 divisors, whose sum is σ = 22446197928. Its totient is φ = 1453676544.

The previous prime is 5905729409. The next prime is 5905729499. The reversal of 5905729440 is 449275095.

5905729440 is a `hidden beast` number, since 590 + 57 + 2 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2616936336 + 3288793104 = 51156^2 + 57348^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 150954 + ... + 186006.

Almost surely, 2^5905729440 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 5905729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223098964).

5905729440 is an abundant number, since it is smaller than the sum of its proper divisors (16540468488).

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

5905729440 is a wasteful number, since it uses less digits than its factorization.

5905729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35093 (or 35076 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5905729440 is about 76848.7439064556. The cubic root of 5905729440 is about 1807.5535908079.

The spelling of 5905729440 in words is "five billion, nine hundred five million, seven hundred twenty-nine thousand, four hundred forty".