10025004221440 has 176 divisors, whose sum is σ = 26047858476528. Its totient is φ = 3680139608064.

The previous prime is 10025004221389. The next prime is 10025004221513. The reversal of 10025004221440 is 4412240052001.

It can be written as a sum of positive squares in 8 ways, for example, as 344841421824 + 9680162799616 = 587232^2 + 3111296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11079574 + ... + 11950186.

Almost surely, 2^{10025004221440} is an apocalyptic number.

10025004221440 is a gapful number since it is divisible by the number (10) 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 10025004221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023929238264).

10025004221440 is an abundant number, since it is smaller than the sum of its proper divisors (16022854255088).

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

10025004221440 is a wasteful number, since it uses less digits than its factorization.

10025004221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870824 (or 870806 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10025004221440 its reverse (4412240052001), we get a palindrome (14437244273441).

The spelling of 10025004221440 in words is "ten trillion, twenty-five billion, four million, two hundred twenty-one thousand, four hundred forty".