10145440350024 has 32 divisors (see below), whose sum is σ = 28986972429120. Its totient is φ = 2898697242816.

The previous prime is 10145440349929. The next prime is 10145440350053. The reversal of 10145440350024 is 42005304454101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30194762779 + ... + 30194763114.

It is an arithmetic number, because the mean of its divisors is an integer number (905842888410).

Almost surely, 2^{10145440350024} is an apocalyptic number.

10145440350024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10145440350024 is an abundant number, since it is smaller than the sum of its proper divisors (18841532079096).

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

10145440350024 is a wasteful number, since it uses less digits than its factorization.

10145440350024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60389525909 (or 60389525905 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 10145440350024 in words is "ten trillion, one hundred forty-five billion, four hundred forty million, three hundred fifty thousand, twenty-four".