4742440704000 has 384 divisors, whose sum is σ = 17532236030400. Its totient is φ = 1264649011200.

The previous prime is 4742440703977. The next prime is 4742440704007. The reversal of 4742440704000 is 4070442474.

4742440704000 is a `hidden beast` number, since 4 + 7 + 4 + 244 + 0 + 7 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742440704007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6568942 + ... + 7255058.

Almost surely, 2^{4742440704000} is an apocalyptic number.

4742440704000 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 4742440704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766118015200).

4742440704000 is an abundant number, since it is smaller than the sum of its proper divisors (12789795326400).

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

4742440704000 is an equidigital number, since it uses as much as digits as its factorization.

4742440704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686163 (or 686127 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The spelling of 4742440704000 in words is "four trillion, seven hundred forty-two billion, four hundred forty million, seven hundred four thousand".