1411224015040 has 224 divisors, whose sum is σ = 4049756167680. Its totient is φ = 457580150784.

The previous prime is 1411224015037. The next prime is 1411224015043. The reversal of 1411224015040 is 405104221141.

It is an interprime number because it is at equal distance from previous prime (1411224015037) and next prime (1411224015043).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1411224014996 and 1411224015014.

It is not an unprimeable number, because it can be changed into a prime (1411224015043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24528387 + ... + 24585853.

Almost surely, 2^{1411224015040} is an apocalyptic number.

1411224015040 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 1411224015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024878083840).

1411224015040 is an abundant number, since it is smaller than the sum of its proper divisors (2638532152640).

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

1411224015040 is a wasteful number, since it uses less digits than its factorization.

1411224015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58087 (or 58077 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1411224015040 its reverse (405104221141), we get a palindrome (1816328236181).

The spelling of 1411224015040 in words is "one trillion, four hundred eleven billion, two hundred twenty-four million, fifteen thousand, forty".