1414322040 has 128 divisors (see below), whose sum is σ = 4432320000. Its totient is φ = 360672768.

The previous prime is 1414322033. The next prime is 1414322053. The reversal of 1414322040 is 402234141.

It is a junction number, because it is equal to n+sod(n) for n = 1414321998 and 1414322016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259261 + ... + 264659.

It is an arithmetic number, because the mean of its divisors is an integer number (34627500).

Almost surely, 2^1414322040 is an apocalyptic number.

1414322040 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 1414322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216160000).

1414322040 is an abundant number, since it is smaller than the sum of its proper divisors (3017997960).

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

1414322040 is a wasteful number, since it uses less digits than its factorization.

1414322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1414322040 is about 37607.4731935024. The cubic root of 1414322040 is about 1122.4907471588.

Adding to 1414322040 its reverse (402234141), we get a palindrome (1816556181).

The spelling of 1414322040 in words is "one billion, four hundred fourteen million, three hundred twenty-two thousand, forty".