6442400400 has 120 divisors (see below), whose sum is σ = 20697633600. Its totient is φ = 1712939520.

The previous prime is 6442400389. The next prime is 6442400417. The reversal of 6442400400 is 40042446.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411109 + ... + 426491.

It is an arithmetic number, because the mean of its divisors is an integer number (172480280).

Almost surely, 2^6442400400 is an apocalyptic number.

6442400400 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 6442400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348816800).

6442400400 is an abundant number, since it is smaller than the sum of its proper divisors (14255233200).

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

6442400400 is a wasteful number, since it uses less digits than its factorization.

6442400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753 (or 15742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6442400400 is about 80264.5650333944. The cubic root of 6442400400 is about 1860.7266209484.

Adding to 6442400400 its reverse (40042446), we get a palindrome (6482442846).

The spelling of 6442400400 in words is "six billion, four hundred forty-two million, four hundred thousand, four hundred".