1413515040 has 192 divisors, whose sum is σ = 5142299904. Its totient is φ = 319684608.

The previous prime is 1413515023. The next prime is 1413515069. The reversal of 1413515040 is 405153141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1413515040.

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, 323752 + ... + 328088.

It is an arithmetic number, because the mean of its divisors is an integer number (26782812).

Almost surely, 2^1413515040 is an apocalyptic number.

1413515040 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 1413515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571149952).

1413515040 is an abundant number, since it is smaller than the sum of its proper divisors (3728784864).

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

1413515040 is a wasteful number, since it uses less digits than its factorization.

1413515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1413515040 is about 37596.7424120761. The cubic root of 1413515040 is about 1122.2772120157.

Adding to 1413515040 its reverse (405153141), we get a palindrome (1818668181).

The spelling of 1413515040 in words is "one billion, four hundred thirteen million, five hundred fifteen thousand, forty".