3601414080000 has 1200 divisors, whose sum is σ = 14358323865600. Its totient is φ = 861419520000.

The previous prime is 3601414079951. The next prime is 3601414080031. The reversal of 3601414080000 is 804141063.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2502719281 + ... + 2502720719.

It is an arithmetic number, because the mean of its divisors is an integer number (11965269888).

Almost surely, 2^{3601414080000} is an apocalyptic number.

3601414080000 is a gapful number since it is divisible by the number (30) 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 3601414080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179161932800).

3601414080000 is an abundant number, since it is smaller than the sum of its proper divisors (10756909785600).

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

3601414080000 is a wasteful number, since it uses less digits than its factorization.

3601414080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3601414080000 in words is "three trillion, six hundred one billion, four hundred fourteen million, eighty thousand".