10456418840 has 128 divisors (see below), whose sum is σ = 27220354560. Its totient is φ = 3540977664.

The previous prime is 10456418839. The next prime is 10456418891. The reversal of 10456418840 is 4881465401.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 17813027 + ... + 17813613.

It is an arithmetic number, because the mean of its divisors is an integer number (212659020).

Almost surely, 2^10456418840 is an apocalyptic number.

10456418840 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 10456418840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610177280).

10456418840 is an abundant number, since it is smaller than the sum of its proper divisors (16763935720).

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

10456418840 is a wasteful number, since it uses less digits than its factorization.

10456418840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 10456418840 in words is "ten billion, four hundred fifty-six million, four hundred eighteen thousand, eight hundred forty".