10144045401024 has 112 divisors (see below), whose sum is σ = 26885639708928. Its totient is φ = 3375533027328.

The previous prime is 10144045401023. The next prime is 10144045401071. The reversal of 10144045401024 is 42010454044101.

It is a junction number, because it is equal to n+sod(n) for n = 10144045400982 and 10144045401000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144045401023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467176792 + ... + 467198504.

It is an arithmetic number, because the mean of its divisors is an integer number (240050354544).

Almost surely, 2^{10144045401024} is an apocalyptic number.

It is an amenable number.

10144045401024 is an abundant number, since it is smaller than the sum of its proper divisors (16741594307904).

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

10144045401024 is a wasteful number, since it uses less digits than its factorization.

10144045401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25802 (or 25792 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 10144045401024 its reverse (42010454044101), we get a palindrome (52154499445125).

The spelling of 10144045401024 in words is "ten trillion, one hundred forty-four billion, forty-five million, four hundred one thousand, twenty-four".