6324219040000 has 135 divisors (see below), whose sum is σ = 15777127614787. Its totient is φ = 2529285248000.

The previous prime is 6324219039989. The next prime is 6324219040021. The reversal of 6324219040000 is 409124236.

It is a happy number.

The square root of 6324219040000 is 2514800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 495818772736 + 5828400267264 = 704144^2 + 2414208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1005916857 + ... + 1005923143.

Almost surely, 2^{6324219040000} is an apocalyptic number.

6324219040000 is the 2514800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6324219040000

6324219040000 is an abundant number, since it is smaller than the sum of its proper divisors (9452908574787).

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

6324219040000 is an frugal number, since it uses more digits than its factorization.

6324219040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 6324219040000 in words is "six trillion, three hundred twenty-four billion, two hundred nineteen million, forty thousand".