10144456540 has 12 divisors (see below), whose sum is σ = 21303358776. Its totient is φ = 4057782608.

The previous prime is 10144456513. The next prime is 10144456559. The reversal of 10144456540 is 4565444101.

10144456540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10144456496 and 10144456505.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 253611394 + ... + 253611433.

It is an arithmetic number, because the mean of its divisors is an integer number (1775279898).

Almost surely, 2^10144456540 is an apocalyptic number.

10144456540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144456540 is an abundant number, since it is smaller than the sum of its proper divisors (11158902236).

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

10144456540 is a wasteful number, since it uses less digits than its factorization.

10144456540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507222836 (or 507222834 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 10144456540 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, five hundred forty".