6326440120000 has 560 divisors, whose sum is σ = 21063091053312. Its totient is φ = 1820183040000.

The previous prime is 6326440119949. The next prime is 6326440120009. The reversal of 6326440120000 is 210446236.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×6326440120000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (6326440120009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39960999 + ... + 40119001.

Almost surely, 2^{6326440120000} 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 6326440120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531545526656).

6326440120000 is an abundant number, since it is smaller than the sum of its proper divisors (14736650933312).

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

6326440120000 is a wasteful number, since it uses less digits than its factorization.

6326440120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158066 (or 158041 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 6326440120000 its reverse (210446236), we get a palindrome (6326650566236).

The spelling of 6326440120000 in words is "six trillion, three hundred twenty-six billion, four hundred forty million, one hundred twenty thousand".