10414041440 has 96 divisors (see below), whose sum is σ = 27218177280. Its totient is φ = 3733542400.

The previous prime is 10414041431. The next prime is 10414041461. The reversal of 10414041440 is 4414041401.

It is a super-2 number, since 2×10414041440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83291 + ... + 166629.

It is an arithmetic number, because the mean of its divisors is an integer number (283522680).

Almost surely, 2^10414041440 is an apocalyptic number.

10414041440 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 10414041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609088640).

10414041440 is an abundant number, since it is smaller than the sum of its proper divisors (16804135840).

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

10414041440 is a wasteful number, since it uses less digits than its factorization.

10414041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83436 (or 83428 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10414041440 its reverse (4414041401), we get a palindrome (14828082841).

The spelling of 10414041440 in words is "ten billion, four hundred fourteen million, forty-one thousand, four hundred forty".