4025919484800 has 576 divisors, whose sum is σ = 15778982044800. Its totient is φ = 972850728960.

The previous prime is 4025919484733. The next prime is 4025919484817. The reversal of 4025919484800 is 84849195204.

It is a happy number.

4025919484800 is a `hidden beast` number, since 4 + 0 + 2 + 591 + 9 + 4 + 8 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12425659 + ... + 12745541.

It is an arithmetic number, because the mean of its divisors is an integer number (27394066050).

Almost surely, 2^{4025919484800} is an apocalyptic number.

4025919484800 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 4025919484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889491022400).

4025919484800 is an abundant number, since it is smaller than the sum of its proper divisors (11753062560000).

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

4025919484800 is a wasteful number, since it uses less digits than its factorization.

4025919484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319955 (or 319935 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4025919484800 in words is "four trillion, twenty-five billion, nine hundred nineteen million, four hundred eighty-four thousand, eight hundred".