10306378440 has 192 divisors, whose sum is σ = 35935099200. Its totient is φ = 2653523712.

The previous prime is 10306378427. The next prime is 10306378477. The reversal of 10306378440 is 4487360301.

10306378440 is a `hidden beast` number, since 10 + 3 + 0 + 637 + 8 + 4 + 4 + 0 = 666.

10306378440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10306378395 and 10306378404.

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 47 ways as a sum of consecutive naturals, for example, 263599 + ... + 300161.

It is an arithmetic number, because the mean of its divisors is an integer number (187161975).

Almost surely, 2^10306378440 is an apocalyptic number.

10306378440 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 10306378440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967549600).

10306378440 is an abundant number, since it is smaller than the sum of its proper divisors (25628720760).

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

10306378440 is a wasteful number, since it uses less digits than its factorization.

10306378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36618 (or 36602 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 103063 and 78440, that added together give a triangular number (181503 = T₆₀₂).

The spelling of 10306378440 in words is "ten billion, three hundred six million, three hundred seventy-eight thousand, four hundred forty".