4323755985120 has 3840 divisors, whose sum is σ = 20713561989120. Its totient is φ = 831297945600.

The previous prime is 4323755985113. The next prime is 4323755985121. The reversal of 4323755985120 is 215895573234.

4323755985120 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 7 + 559 + 85 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×4323755985120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4323755985121) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 18556892524 + ... + 18556892756.

It is an arithmetic number, because the mean of its divisors is an integer number (5394156768).

Almost surely, 2^{4323755985120} is an apocalyptic number.

4323755985120 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 4323755985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356780994560).

4323755985120 is an abundant number, since it is smaller than the sum of its proper divisors (16389806004000).

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

4323755985120 is a wasteful number, since it uses less digits than its factorization.

4323755985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4323755985120 in words is "four trillion, three hundred twenty-three billion, seven hundred fifty-five million, nine hundred eighty-five thousand, one hundred twenty".