10405105440 has 96 divisors (see below), whose sum is σ = 32790272256. Its totient is φ = 2773493760.

The previous prime is 10405105409. The next prime is 10405105441. The reversal of 10405105440 is 4450150401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 10405105440.

It is not an unprimeable number, because it can be changed into a prime (10405105441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970644 + ... + 1975916.

It is an arithmetic number, because the mean of its divisors is an integer number (341565336).

Almost surely, 2^10405105440 is an apocalyptic number.

10405105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405105440 is an abundant number, since it is smaller than the sum of its proper divisors (22385166816).

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

10405105440 is a wasteful number, since it uses less digits than its factorization.

10405105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10405105440 its reverse (4450150401), we get a palindrome (14855255841).

The spelling of 10405105440 in words is "ten billion, four hundred five million, one hundred five thousand, four hundred forty".