4294252872000 has 1344 divisors, whose sum is σ = 18954077635584. Its totient is φ = 903746764800.

The previous prime is 4294252871959. The next prime is 4294252872017. The reversal of 4294252872000 is 2782524924.

4294252872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4239143494 + ... + 4239144506.

It is an arithmetic number, because the mean of its divisors is an integer number (14102736336).

Almost surely, 2^{4294252872000} is an apocalyptic number.

4294252872000 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 4294252872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477038817792).

4294252872000 is an abundant number, since it is smaller than the sum of its proper divisors (14659824763584).

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

4294252872000 is a wasteful number, since it uses less digits than its factorization.

4294252872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4294252872000 in words is "four trillion, two hundred ninety-four billion, two hundred fifty-two million, eight hundred seventy-two thousand".