4243688976384 has 1664 divisors, whose sum is σ = 15479999216640. Its totient is φ = 1131754291200.

The previous prime is 4243688976347. The next prime is 4243688976407. The reversal of 4243688976384 is 4836798863424.

It is a happy number.

4243688976384 is a `hidden beast` number, since 4 + 2 + 43 + 68 + 89 + 76 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×4243688976384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51128782807 + ... + 51128782889.

Almost surely, 2^{4243688976384} is an apocalyptic number.

4243688976384 is a gapful number since it is divisible by the number (44) 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 4243688976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739999608320).

4243688976384 is an abundant number, since it is smaller than the sum of its proper divisors (11236310240256).

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

4243688976384 is a wasteful number, since it uses less digits than its factorization.

4243688976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 4243688976384 in words is "four trillion, two hundred forty-three billion, six hundred eighty-eight million, nine hundred seventy-six thousand, three hundred eighty-four".