4368349440000 has 2400 divisors, whose sum is σ = 20110659528960. Its totient is φ = 919683072000.

The previous prime is 4368349439939. The next prime is 4368349440017. The reversal of 4368349440000 is 449438634.

It is a happy number.

4368349440000 is a `hidden beast` number, since 43 + 6 + 83 + 494 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9434879769 + ... + 9434880231.

Almost surely, 2^{4368349440000} is an apocalyptic number.

4368349440000 is a gapful number since it is divisible by the number (40) 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 4368349440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055329764480).

4368349440000 is an abundant number, since it is smaller than the sum of its proper divisors (15742310088960).

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

4368349440000 is an equidigital number, since it uses as much as digits as its factorization.

4368349440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4368349440000 in words is "four trillion, three hundred sixty-eight billion, three hundred forty-nine million, four hundred forty thousand".