4207949424000 has 1536 divisors, whose sum is σ = 17926372638720. Its totient is φ = 925655040000.

The previous prime is 4207949423989. The next prime is 4207949424001. The reversal of 4207949424000 is 4249497024.

4207949424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4207949424001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9718127784 + ... + 9718128216.

It is an arithmetic number, because the mean of its divisors is an integer number (11670815520).

Almost surely, 2^{4207949424000} is an apocalyptic number.

4207949424000 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 4207949424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963186319360).

4207949424000 is an abundant number, since it is smaller than the sum of its proper divisors (13718423214720).

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

4207949424000 is a wasteful number, since it uses less digits than its factorization.

4207949424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4207949424000 in words is "four trillion, two hundred seven billion, nine hundred forty-nine million, four hundred twenty-four thousand".