10413224640 has 336 divisors, whose sum is σ = 44083760448. Its totient is φ = 2197020672.

The previous prime is 10413224623. The next prime is 10413224741. The reversal of 10413224640 is 4642231401.

It is a happy number.

10413224640 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242214 + ... + 281946.

It is an arithmetic number, because the mean of its divisors is an integer number (131201668).

Almost surely, 2^10413224640 is an apocalyptic number.

10413224640 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 10413224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041880224).

10413224640 is an abundant number, since it is smaller than the sum of its proper divisors (33670535808).

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

10413224640 is a wasteful number, since it uses less digits than its factorization.

10413224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39776 (or 39763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10413224640 in words is "ten billion, four hundred thirteen million, two hundred twenty-four thousand, six hundred forty".