10413403214240 has 192 divisors, whose sum is σ = 27089993548800. Its totient is φ = 3759415455744.

The previous prime is 10413403214177. The next prime is 10413403214243. The reversal of 10413403214240 is 4241230431401.

It is not an unprimeable number, because it can be changed into a prime (10413403214243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16617326 + ... + 17232594.

It is an arithmetic number, because the mean of its divisors is an integer number (141093716400).

Almost surely, 2^{10413403214240} is an apocalyptic number.

10413403214240 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 10413403214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544996774400).

10413403214240 is an abundant number, since it is smaller than the sum of its proper divisors (16676590334560).

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

10413403214240 is a wasteful number, since it uses less digits than its factorization.

10413403214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615479 (or 615471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10413403214240 its reverse (4241230431401), we get a palindrome (14654633645641).

The spelling of 10413403214240 in words is "ten trillion, four hundred thirteen billion, four hundred three million, two hundred fourteen thousand, two hundred forty".