1140010401220 has 24 divisors (see below), whose sum is σ = 2394042576408. Its totient is φ = 456000211200.

The previous prime is 1140010401149. The next prime is 1140010401221. The reversal of 1140010401220 is 221040100411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 226774059264 + 913236341956 = 476208^2 + 955634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140010401194 and 1140010401203.

It is not an unprimeable number, because it can be changed into a prime (1140010401221) 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, 3528880 + ... + 3838360.

It is an arithmetic number, because the mean of its divisors is an integer number (99751774017).

Almost surely, 2^{1140010401220} is an apocalyptic number.

1140010401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140010401220 is an abundant number, since it is smaller than the sum of its proper divisors (1254032175188).

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

1140010401220 is a wasteful number, since it uses less digits than its factorization.

1140010401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493671 (or 493669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1140010401220 its reverse (221040100411), we get a palindrome (1361050501631).

The spelling of 1140010401220 in words is "one trillion, one hundred forty billion, ten million, four hundred one thousand, two hundred twenty".