105041403440 has 40 divisors (see below), whose sum is σ = 252642691440. Its totient is φ = 40567713536.

The previous prime is 105041403427. The next prime is 105041403449. The reversal of 105041403440 is 44304140501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105041403440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105041403449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22635914 + ... + 22640553.

It is an arithmetic number, because the mean of its divisors is an integer number (6316067286).

Almost surely, 2^105041403440 is an apocalyptic number.

105041403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105041403440 is an abundant number, since it is smaller than the sum of its proper divisors (147601288000).

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

105041403440 is a wasteful number, since it uses less digits than its factorization.

105041403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45276509 (or 45276503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 105041403440 its reverse (44304140501), we get a palindrome (149345543941).

The spelling of 105041403440 in words is "one hundred five billion, forty-one million, four hundred three thousand, four hundred forty".