4361105760000 has 720 divisors, whose sum is σ = 15882161581440. Its totient is φ = 1053255680000.

The previous prime is 4361105759993. The next prime is 4361105760001. The reversal of 4361105760000 is 675011634.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4361105760001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1547038591 + ... + 1547041409.

It is an arithmetic number, because the mean of its divisors is an integer number (22058557752).

Almost surely, 2^{4361105760000} is an apocalyptic number.

4361105760000 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 4361105760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941080790720).

4361105760000 is an abundant number, since it is smaller than the sum of its proper divisors (11521055821440).

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

4361105760000 is a wasteful number, since it uses less digits than its factorization.

4361105760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 4361105760000 in words is "four trillion, three hundred sixty-one billion, one hundred five million, seven hundred sixty thousand".