1414245040 has 80 divisors (see below), whose sum is σ = 3616518528. Its totient is φ = 511054848.

The previous prime is 1414245029. The next prime is 1414245047. The reversal of 1414245040 is 405424141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1414244996 and 1414245014.

It is not an unprimeable number, because it can be changed into a prime (1414245047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34414 + ... + 63346.

Almost surely, 2^1414245040 is an apocalyptic number.

1414245040 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 1414245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808259264).

1414245040 is an abundant number, since it is smaller than the sum of its proper divisors (2202273488).

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

1414245040 is a wasteful number, since it uses less digits than its factorization.

1414245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29006 (or 29000 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 1414245040 is about 37606.4494468701. The cubic root of 1414245040 is about 1122.4703761839.

Adding to 1414245040 its reverse (405424141), we get a palindrome (1819669181).

The spelling of 1414245040 in words is "one billion, four hundred fourteen million, two hundred forty-five thousand, forty".