4092864467120 has 320 divisors, whose sum is σ = 12013862063616. Its totient is φ = 1273712394240.

The previous prime is 4092864467119. The next prime is 4092864467129. The reversal of 4092864467120 is 217644682904.

It is a super-2 number, since 2×4092864467120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4092864467129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12873107 + ... + 13187213.

Almost surely, 2^{4092864467120} is an apocalyptic number.

4092864467120 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 4092864467120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006931031808).

4092864467120 is an abundant number, since it is smaller than the sum of its proper divisors (7920997596496).

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

4092864467120 is a wasteful number, since it uses less digits than its factorization.

4092864467120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314228 (or 314222 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 4092864467120 in words is "four trillion, ninety-two billion, eight hundred sixty-four million, four hundred sixty-seven thousand, one hundred twenty".