4934001072000 has 2048 divisors, whose sum is σ = 22724474572800. Its totient is φ = 913489920000.

The previous prime is 4934001071999. The next prime is 4934001072017. The reversal of 4934001072000 is 2701004394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 255 ways as a sum of consecutive naturals, for example, 1393390230 + ... + 1393393770.

It is an arithmetic number, because the mean of its divisors is an integer number (11095934850).

Almost surely, 2^{4934001072000} is an apocalyptic number.

4934001072000 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 4934001072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362237286400).

4934001072000 is an abundant number, since it is smaller than the sum of its proper divisors (17790473500800).

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

4934001072000 is a wasteful number, since it uses less digits than its factorization.

4934001072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 4934001072000 its reverse (2701004394), we get a palindrome (4936702076394).

The spelling of 4934001072000 in words is "four trillion, nine hundred thirty-four billion, one million, seventy-two thousand".