1014420304040 has 256 divisors, whose sum is σ = 2707556544000. Its totient is φ = 337206988800.

The previous prime is 1014420304021. The next prime is 1014420304091. The reversal of 1014420304040 is 404030244101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1014420303997 and 1014420304015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317898845 + ... + 317902035.

It is an arithmetic number, because the mean of its divisors is an integer number (10576392750).

Almost surely, 2^{1014420304040} is an apocalyptic number.

1014420304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014420304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353778272000).

1014420304040 is an abundant number, since it is smaller than the sum of its proper divisors (1693136239960).

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

1014420304040 is a wasteful number, since it uses less digits than its factorization.

1014420304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1014420304040 its reverse (404030244101), we get a palindrome (1418450548141).

The spelling of 1014420304040 in words is "one trillion, fourteen billion, four hundred twenty million, three hundred four thousand, forty".