4047265008000 has 512 divisors, whose sum is σ = 15160189824000. Its totient is φ = 1060971264000.

The previous prime is 4047265007999. The next prime is 4047265008053. The reversal of 4047265008000 is 8005627404.

4047265008000 is a `hidden beast` number, since 4 + 0 + 4 + 72 + 6 + 500 + 80 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 25408605 + ... + 25567395.

It is an arithmetic number, because the mean of its divisors is an integer number (29609745750).

Almost surely, 2^{4047265008000} is an apocalyptic number.

4047265008000 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 4047265008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580094912000).

4047265008000 is an abundant number, since it is smaller than the sum of its proper divisors (11112924816000).

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

4047265008000 is a wasteful number, since it uses less digits than its factorization.

4047265008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158888 (or 158860 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4047265008000 in words is "four trillion, forty-seven billion, two hundred sixty-five million, eight thousand".