105440421224240 has 40 divisors (see below), whose sum is σ = 245154367553760. Its totient is φ = 42175241486336.

The previous prime is 105440421224227. The next prime is 105440421224249. The reversal of 105440421224240 is 42422124044501.

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

It is a super-2 number, since 2×105440421224240² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105440421224240.

It is not an unprimeable number, because it can be changed into a prime (105440421224249) 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, 10816124 + ... + 18107163.

It is an arithmetic number, because the mean of its divisors is an integer number (6128859188844).

Almost surely, 2^{105440421224240} is an apocalyptic number.

105440421224240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105440421224240 is an abundant number, since it is smaller than the sum of its proper divisors (139713946329520).

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

105440421224240 is a wasteful number, since it uses less digits than its factorization.

105440421224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28968869 (or 28968863 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 105440421224240 its reverse (42422124044501), we get a palindrome (147862545268741).

The spelling of 105440421224240 in words is "one hundred five trillion, four hundred forty billion, four hundred twenty-one million, two hundred twenty-four thousand, two hundred forty".