4441011401124 has 72 divisors (see below), whose sum is σ = 12008775077208. Its totient is φ = 1378894970880.

The previous prime is 4441011401117. The next prime is 4441011401131. The reversal of 4441011401124 is 4211041101444.

4441011401124 is a `hidden beast` number, since 444 + 101 + 1 + 4 + 0 + 112 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4441011401117) and next prime (4441011401131).

It can be written as a sum of positive squares in 4 ways, for example, as 218479586724 + 4222531814400 = 467418^2 + 2054880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37345557 + ... + 37464284.

It is an arithmetic number, because the mean of its divisors is an integer number (166788542739).

Almost surely, 2^{4441011401124} is an apocalyptic number.

It is an amenable number.

4441011401124 is an abundant number, since it is smaller than the sum of its proper divisors (7567763676084).

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

4441011401124 is a wasteful number, since it uses less digits than its factorization.

4441011401124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74809965 (or 74809960 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4441011401124 its reverse (4211041101444), we get a palindrome (8652052502568).

The spelling of 4441011401124 in words is "four trillion, four hundred forty-one billion, eleven million, four hundred one thousand, one hundred twenty-four".