10278144240 has 1280 divisors, whose sum is σ = 46077050880. Its totient is φ = 1831403520.

The previous prime is 10278144211. The next prime is 10278144299. The reversal of 10278144240 is 4244187201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 218683897 + ... + 218683943.

It is an arithmetic number, because the mean of its divisors is an integer number (35997696).

Almost surely, 2^10278144240 is an apocalyptic number.

10278144240 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 10278144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038525440).

10278144240 is an abundant number, since it is smaller than the sum of its proper divisors (35798906640).

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

10278144240 is a wasteful number, since it uses less digits than its factorization.

10278144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 10278144240 in words is "ten billion, two hundred seventy-eight million, one hundred forty-four thousand, two hundred forty".