10413443040 has 384 divisors, whose sum is σ = 44044342272. Its totient is φ = 1997291520.

The previous prime is 10413443017. The next prime is 10413443057. The reversal of 10413443040 is 4034431401.

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 10413443040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469644 + ... + 491316.

It is an arithmetic number, because the mean of its divisors is an integer number (114698808).

Almost surely, 2^10413443040 is an apocalyptic number.

10413443040 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 10413443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022171136).

10413443040 is an abundant number, since it is smaller than the sum of its proper divisors (33630899232).

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

10413443040 is a wasteful number, since it uses less digits than its factorization.

10413443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10413443040 its reverse (4034431401), we get a palindrome (14447874441).

The spelling of 10413443040 in words is "ten billion, four hundred thirteen million, four hundred forty-three thousand, forty".