10025041505040 has 320 divisors, whose sum is σ = 35386672608000. Its totient is φ = 2607126220800.

The previous prime is 10025041504987. The next prime is 10025041505099. The reversal of 10025041505040 is 4050514052001.

10025041505040 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 0 + 4 + 150 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10025041504995 and 10025041505013.

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, 242722311 + ... + 242763609.

It is an arithmetic number, because the mean of its divisors is an integer number (110583351900).

Almost surely, 2^{10025041505040} is an apocalyptic number.

10025041505040 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 10025041505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693336304000).

10025041505040 is an abundant number, since it is smaller than the sum of its proper divisors (25361631102960).

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

10025041505040 is a wasteful number, since it uses less digits than its factorization.

10025041505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44103 (or 44091 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 10025041505040 its reverse (4050514052001), we get a palindrome (14075555557041).

The spelling of 10025041505040 in words is "ten trillion, twenty-five billion, forty-one million, five hundred five thousand, forty".