1413314040 has 192 divisors, whose sum is σ = 4567570560. Its totient is φ = 349726720.

The previous prime is 1413314003. The next prime is 1413314041. The reversal of 1413314040 is 404133141.

It is a super-2 number, since 2×1413314040² = 3994913151322243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1413313998 and 1413314016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413314041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878195 + ... + 2878685.

It is an arithmetic number, because the mean of its divisors is an integer number (23789430).

Almost surely, 2^1413314040 is an apocalyptic number.

1413314040 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 1413314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283785280).

1413314040 is an abundant number, since it is smaller than the sum of its proper divisors (3154256520).

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

1413314040 is a wasteful number, since it uses less digits than its factorization.

1413314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1413314040 is about 37594.0692131086. The cubic root of 1413314040 is about 1122.2240140408.

Adding to 1413314040 its reverse (404133141), we get a palindrome (1817447181).

The spelling of 1413314040 in words is "one billion, four hundred thirteen million, three hundred fourteen thousand, forty".