6201605440 has 112 divisors (see below), whose sum is σ = 15813176400. Its totient is φ = 2308308992.

The previous prime is 6201605413. The next prime is 6201605447. The reversal of 6201605440 is 445061026.

It can be written as a sum of positive squares in 8 ways, for example, as 207129664 + 5994475776 = 14392^2 + 77424^2 .

It is a super-5 number, since 5×6201605440⁵ (a number of 50 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6201605399 and 6201605408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6201605447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477756 + ... + 490564.

It is an arithmetic number, because the mean of its divisors is an integer number (141189075).

Almost surely, 2^6201605440 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 6201605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906588200).

6201605440 is an abundant number, since it is smaller than the sum of its proper divisors (9611570960).

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

6201605440 is a wasteful number, since it uses less digits than its factorization.

6201605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12932 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6201605440 is about 78750.2726344487. The cubic root of 6201605440 is about 1837.2491029239.

Adding to 6201605440 its reverse (445061026), we get a palindrome (6646666466).

The spelling of 6201605440 in words is "six billion, two hundred one million, six hundred five thousand, four hundred forty".