10354305440 has 24 divisors (see below), whose sum is σ = 24462046980. Its totient is φ = 4141722112.

The previous prime is 10354305431. The next prime is 10354305469. The reversal of 10354305440 is 4450345301.

It can be written as a sum of positive squares in 2 ways, for example, as 10354283536 + 21904 = 101756^2 + 148^2 .

It is a super-3 number, since 3×10354305440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 32357045 + ... + 32357364.

Almost surely, 2^10354305440 is an apocalyptic number.

10354305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354305440 is an abundant number, since it is smaller than the sum of its proper divisors (14107741540).

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

10354305440 is an equidigital number, since it uses as much as digits as its factorization.

10354305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64714424 (or 64714416 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 10354305440 in words is "ten billion, three hundred fifty-four million, three hundred five thousand, four hundred forty".