6412241440 has 96 divisors (see below), whose sum is σ = 16547763456. Its totient is φ = 2328668160.

The previous prime is 6412241431. The next prime is 6412241449. The reversal of 6412241440 is 441422146.

It is an interprime number because it is at equal distance from previous prime (6412241431) and next prime (6412241449).

It is a super-2 number, since 2×6412241440² = 82233680569706547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6412241399 and 6412241408.

It is not an unprimeable number, because it can be changed into a prime (6412241449) 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, 1675369 + ... + 1679191.

It is an arithmetic number, because the mean of its divisors is an integer number (172372536).

Almost surely, 2^6412241440 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 6412241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273881728).

6412241440 is an abundant number, since it is smaller than the sum of its proper divisors (10135522016).

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

6412241440 is a wasteful number, since it uses less digits than its factorization.

6412241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 6412241440 is about 80076.4724497777. The cubic root of 6412241440 is about 1857.8185239205.

Adding to 6412241440 its reverse (441422146), we get a palindrome (6853663586).

The spelling of 6412241440 in words is "six billion, four hundred twelve million, two hundred forty-one thousand, four hundred forty".