1413378736 has 180 divisors, whose sum is σ = 3587207904. Its totient is φ = 537250560.

The previous prime is 1413378679. The next prime is 1413378763. The reversal of 1413378736 is 6378733141.

It is a junction number, because it is equal to n+sod(n) for n = 1413378692 and 1413378701.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4458450 + ... + 4458766.

Almost surely, 2^1413378736 is an apocalyptic number.

1413378736 is a gapful number since it is divisible by the number (16) 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 1413378736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793603952).

1413378736 is an abundant number, since it is smaller than the sum of its proper divisors (2173829168).

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

1413378736 is a wasteful number, since it uses less digits than its factorization.

1413378736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 1413378736 is about 37594.9296581334. The cubic root of 1413378736 is about 1122.2411374578.

The spelling of 1413378736 in words is "one billion, four hundred thirteen million, three hundred seventy-eight thousand, seven hundred thirty-six".