25014440000000 has 640 divisors, whose sum is σ = 68812558214400. Its totient is φ = 9008640000000.

The previous prime is 25014439999957. The next prime is 25014440000029. The reversal of 25014440000000 is 4441052.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 61159999796 + ... + 61160000204.

It is an arithmetic number, because the mean of its divisors is an integer number (107519622210).

Almost surely, 2^{25014440000000} is an apocalyptic number.

25014440000000 is a gapful number since it is divisible by the number (20) 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 25014440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34406279107200).

25014440000000 is an abundant number, since it is smaller than the sum of its proper divisors (43798118214400).

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

25014440000000 is an frugal number, since it uses more digits than its factorization.

25014440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 25014440000000 its reverse (4441052), we get a palindrome (25014444441052).

It can be divided in two parts, 250 and 14440000000, that multiplied together give a square (3610000000000 = 1900000²).

The spelling of 25014440000000 in words is "twenty-five trillion, fourteen billion, four hundred forty million", and thus it is an aban number.