4254429537072 has 640 divisors, whose sum is σ = 15009139353600. Its totient is φ = 1135370649600.

The previous prime is 4254429536947. The next prime is 4254429537073. The reversal of 4254429537072 is 2707359244524.

4254429537072 is a `hidden beast` number, since 4 + 2 + 544 + 2 + 95 + 3 + 7 + 0 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4254429537073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 581123172 + ... + 581130492.

It is an arithmetic number, because the mean of its divisors is an integer number (23451780240).

Almost surely, 2^{4254429537072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4254429537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504569676800).

4254429537072 is an abundant number, since it is smaller than the sum of its proper divisors (10754709816528).

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

4254429537072 is a wasteful number, since it uses less digits than its factorization.

4254429537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 4254429537072 in words is "four trillion, two hundred fifty-four billion, four hundred twenty-nine million, five hundred thirty-seven thousand, seventy-two".