4395134400000 has 960 divisors, whose sum is σ = 15660104689152. Its totient is φ = 1092608000000.

The previous prime is 4395134399941. The next prime is 4395134400049. The reversal of 4395134400000 is 44315934.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4526399515 + ... + 4526400485.

Almost surely, 2^{4395134400000} is an apocalyptic number.

4395134400000 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 4395134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830052344576).

4395134400000 is an abundant number, since it is smaller than the sum of its proper divisors (11264970289152).

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

4395134400000 is an frugal number, since it uses more digits than its factorization.

4395134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 4395134400000 its reverse (44315934), we get a palindrome (4395178715934).

The spelling of 4395134400000 in words is "four trillion, three hundred ninety-five billion, one hundred thirty-four million, four hundred thousand".