6541215446400 has 384 divisors, whose sum is σ = 22820695587360. Its totient is φ = 1641126297600.

The previous prime is 6541215446369. The next prime is 6541215446407. The reversal of 6541215446400 is 46445121456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541215446407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613789872 + ... + 613800528.

Almost surely, 2^{6541215446400} is an apocalyptic number.

6541215446400 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 6541215446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410347793680).

6541215446400 is an abundant number, since it is smaller than the sum of its proper divisors (16279480140960).

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

6541215446400 is a wasteful number, since it uses less digits than its factorization.

6541215446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 6541215446400 in words is "six trillion, five hundred forty-one billion, two hundred fifteen million, four hundred forty-six thousand, four hundred".