4005025214304 has 192 divisors, whose sum is σ = 10823666466816. Its totient is φ = 1296075262464.

The previous prime is 4005025214303. The next prime is 4005025214327. The reversal of 4005025214304 is 4034125205004.

It is a super-2 number, since 2×4005025214304² (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 (4005025214303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379007229 + ... + 379017795.

It is an arithmetic number, because the mean of its divisors is an integer number (56373262848).

Almost surely, 2^{4005025214304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005025214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411833233408).

4005025214304 is an abundant number, since it is smaller than the sum of its proper divisors (6818641252512).

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

4005025214304 is a wasteful number, since it uses less digits than its factorization.

4005025214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 4005025214304 in words is "four trillion, five billion, twenty-five million, two hundred fourteen thousand, three hundred four".