4121365248000 has 2304 divisors, whose sum is σ = 19956695915520. Its totient is φ = 790069248000.

The previous prime is 4121365247933. The next prime is 4121365248017. The reversal of 4121365248000 is 8425631214.

It is a happy number.

4121365248000 is a `hidden beast` number, since 4 + 1 + 21 + 36 + 524 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2306303107 + ... + 2306304893.

It is an arithmetic number, because the mean of its divisors is an integer number (8661760380).

Almost surely, 2^{4121365248000} is an apocalyptic number.

4121365248000 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 4121365248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978347957760).

4121365248000 is an abundant number, since it is smaller than the sum of its proper divisors (15835330667520).

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

4121365248000 is a wasteful number, since it uses less digits than its factorization.

4121365248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 4121365248000 in words is "four trillion, one hundred twenty-one billion, three hundred sixty-five million, two hundred forty-eight thousand".