4238295909120 has 1440 divisors, whose sum is σ = 18900175492800. Its totient is φ = 894006263808.

The previous prime is 4238295909103. The next prime is 4238295909131. The reversal of 4238295909120 is 219095928324.

4238295909120 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 29 + 590 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1078719316 + ... + 1078723244.

It is an arithmetic number, because the mean of its divisors is an integer number (13125121870).

Almost surely, 2^{4238295909120} is an apocalyptic number.

4238295909120 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 4238295909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450087746400).

4238295909120 is an abundant number, since it is smaller than the sum of its proper divisors (14661879583680).

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

4238295909120 is an equidigital number, since it uses as much as digits as its factorization.

4238295909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

It can be divided in two parts, 4238295 and 909120, that added together give a palindrome (5147415).

The spelling of 4238295909120 in words is "four trillion, two hundred thirty-eight billion, two hundred ninety-five million, nine hundred nine thousand, one hundred twenty".