4024795827000 has 512 divisors, whose sum is σ = 14082879283200. Its totient is φ = 950181120000.

The previous prime is 4024795826993. The next prime is 4024795827001. The reversal of 4024795827000 is 7285974204.

It is a super-2 number, since 2×4024795827000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024795827001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170769217 + ... + 170792783.

It is an arithmetic number, because the mean of its divisors is an integer number (27505623600).

Almost surely, 2^{4024795827000} is an apocalyptic number.

4024795827000 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 4024795827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041439641600).

4024795827000 is an abundant number, since it is smaller than the sum of its proper divisors (10058083456200).

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

4024795827000 is a wasteful number, since it uses less digits than its factorization.

4024795827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784 (or 23770 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 4024795827000 in words is "four trillion, twenty-four billion, seven hundred ninety-five million, eight hundred twenty-seven thousand".