4229761536000 has 3744 divisors, whose sum is σ = 20997275435136. Its totient is φ = 805109760000.

The previous prime is 4229761535939. The next prime is 4229761536037. The reversal of 4229761536000 is 6351679224.

4229761536000 is a `hidden beast` number, since 4 + 2 + 29 + 7 + 6 + 15 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 32288255935 + ... + 32288256065.

It is an arithmetic number, because the mean of its divisors is an integer number (5608246644).

Almost surely, 2^{4229761536000} is an apocalyptic number.

4229761536000 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 4229761536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498637717568).

4229761536000 is an abundant number, since it is smaller than the sum of its proper divisors (16767513899136).

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

4229761536000 is a wasteful number, since it uses less digits than its factorization.

4229761536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4229761536000 in words is "four trillion, two hundred twenty-nine billion, seven hundred sixty-one million, five hundred thirty-six thousand".