4234768128000 has 960 divisors, whose sum is σ = 15855824144160. Its totient is φ = 1124278272000.

The previous prime is 4234768127977. The next prime is 4234768128109. The reversal of 4234768128000 is 8218674324.

It is a happy number.

4234768128000 is a `hidden beast` number, since 4 + 23 + 476 + 81 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4234768128000² (a number of 26 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 9186047770 + ... + 9186048230.

Almost surely, 2^{4234768128000} is an apocalyptic number.

4234768128000 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 4234768128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927912072080).

4234768128000 is an abundant number, since it is smaller than the sum of its proper divisors (11621056016160).

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

4234768128000 is an equidigital number, since it uses as much as digits as its factorization.

4234768128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4234768128000 in words is "four trillion, two hundred thirty-four billion, seven hundred sixty-eight million, one hundred twenty-eight thousand".