4114252800000 has 1008 divisors, whose sum is σ = 16983988205184. Its totient is φ = 940032000000.

The previous prime is 4114252799989. The next prime is 4114252800001. The reversal of 4114252800000 is 82524114.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×4114252800000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4114252800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1612798725 + ... + 1612801275.

It is an arithmetic number, because the mean of its divisors is an integer number (16849194648).

Almost surely, 2^{4114252800000} is an apocalyptic number.

4114252800000 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 4114252800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491994102592).

4114252800000 is an abundant number, since it is smaller than the sum of its proper divisors (12869735405184).

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

4114252800000 is an frugal number, since it uses more digits than its factorization.

4114252800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 4114252800000 in words is "four trillion, one hundred fourteen billion, two hundred fifty-two million, eight hundred thousand".