4364425296000 has 3072 divisors, whose sum is σ = 20702148480000. Its totient is φ = 872460288000.

The previous prime is 4364425295999. The next prime is 4364425296067. The reversal of 4364425296000 is 6925244634.

4364425296000 is a `hidden beast` number, since 4 + 3 + 64 + 4 + 2 + 529 + 60 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15756047862 + ... + 15756048138.

It is an arithmetic number, because the mean of its divisors is an integer number (6738980625).

Almost surely, 2^{4364425296000} is an apocalyptic number.

4364425296000 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 4364425296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351074240000).

4364425296000 is an abundant number, since it is smaller than the sum of its proper divisors (16337723184000).

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

4364425296000 is a wasteful number, since it uses less digits than its factorization.

4364425296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4364425296000 in words is "four trillion, three hundred sixty-four billion, four hundred twenty-five million, two hundred ninety-six thousand".