4289452719000 has 256 divisors, whose sum is σ = 13450463769600. Its totient is φ = 1138104576000.

The previous prime is 4289452718983. The next prime is 4289452719007. The reversal of 4289452719000 is 9172549824.

It is a super-2 number, since 2×4289452719000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289452719007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205239221 + ... + 1205242779.

It is an arithmetic number, because the mean of its divisors is an integer number (52540874100).

Almost surely, 2^{4289452719000} is an apocalyptic number.

4289452719000 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 4289452719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725231884800).

4289452719000 is an abundant number, since it is smaller than the sum of its proper divisors (9161011050600).

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

4289452719000 is a wasteful number, since it uses less digits than its factorization.

4289452719000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 4289452719000 in words is "four trillion, two hundred eighty-nine billion, four hundred fifty-two million, seven hundred nineteen thousand".