10078266240 has 320 divisors, whose sum is σ = 41134404960. Its totient is φ = 2303520768.

The previous prime is 10078266239. The next prime is 10078266257. The reversal of 10078266240 is 4266287001.

10078266240 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10078266195 and 10078266204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 348994 + ... + 376766.

Almost surely, 2^10078266240 is an apocalyptic number.

10078266240 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 10078266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567202480).

10078266240 is an abundant number, since it is smaller than the sum of its proper divisors (31056138720).

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

10078266240 is an equidigital number, since it uses as much as digits as its factorization.

10078266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27811 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10078266240 in words is "ten billion, seventy-eight million, two hundred sixty-six thousand, two hundred forty".