4261304616000 has 224 divisors, whose sum is σ = 14072940355968. Its totient is φ = 1136177305600.

The previous prime is 4261304615993. The next prime is 4261304616013. The reversal of 4261304616000 is 6164031624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313025194 + ... + 313038806.

Almost surely, 2^{4261304616000} is an apocalyptic number.

4261304616000 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 4261304616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036470177984).

4261304616000 is an abundant number, since it is smaller than the sum of its proper divisors (9811635739968).

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

4261304616000 is a wasteful number, since it uses less digits than its factorization.

4261304616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26686 (or 26666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 4261304616000 its reverse (6164031624), we get a palindrome (4267468647624).

The spelling of 4261304616000 in words is "four trillion, two hundred sixty-one billion, three hundred four million, six hundred sixteen thousand".