6422401440 has 1152 divisors, whose sum is σ = 30268546560. Its totient is φ = 1234206720.

The previous prime is 6422401421. The next prime is 6422401441. The reversal of 6422401440 is 441042246.

It is a happy number.

6422401440 is a `hidden beast` number, since 642 + 2 + 4 + 0 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6422401441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207174225 + ... + 207174255.

It is an arithmetic number, because the mean of its divisors is an integer number (26274780).

Almost surely, 2^6422401440 is an apocalyptic number.

6422401440 is a gapful number since it is divisible by the number (60) 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 6422401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134273280).

6422401440 is an abundant number, since it is smaller than the sum of its proper divisors (23846145120).

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

6422401440 is a wasteful number, since it uses less digits than its factorization.

6422401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 6422401440 is about 80139.8866981979. The cubic root of 6422401440 is about 1858.7992249729.

Adding to 6422401440 its reverse (441042246), we get a palindrome (6863443686).

The spelling of 6422401440 in words is "six billion, four hundred twenty-two million, four hundred one thousand, four hundred forty".