10450314240 has 176 divisors, whose sum is σ = 33581935680. Its totient is φ = 2773647360.

The previous prime is 10450314181. The next prime is 10450314269. The reversal of 10450314240 is 4241305401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10450314240.

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 15 ways as a sum of consecutive naturals, for example, 3515955 + ... + 3518925.

Almost surely, 2^10450314240 is an apocalyptic number.

10450314240 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 10450314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790967840).

10450314240 is an abundant number, since it is smaller than the sum of its proper divisors (23131621440).

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

10450314240 is a wasteful number, since it uses less digits than its factorization.

10450314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10450314240 its reverse (4241305401), we get a palindrome (14691619641).

The spelling of 10450314240 in words is "ten billion, four hundred fifty million, three hundred fourteen thousand, two hundred forty".