1413201410120 has 128 divisors (see below), whose sum is σ = 3282365548800. Its totient is φ = 547397554176.

The previous prime is 1413201410111. The next prime is 1413201410129. The reversal of 1413201410120 is 210141023141.

It is an interprime number because it is at equal distance from previous prime (1413201410111) and next prime (1413201410129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1413201410092 and 1413201410101.

It is not an unprimeable number, because it can be changed into a prime (1413201410129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37798796 + ... + 37836164.

It is an arithmetic number, because the mean of its divisors is an integer number (25643480850).

Almost surely, 2^{1413201410120} is an apocalyptic number.

1413201410120 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 1413201410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641182774400).

1413201410120 is an abundant number, since it is smaller than the sum of its proper divisors (1869164138680).

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

1413201410120 is a wasteful number, since it uses less digits than its factorization.

1413201410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37687 (or 37683 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1413201410120 its reverse (210141023141), we get a palindrome (1623342433261).

The spelling of 1413201410120 in words is "one trillion, four hundred thirteen billion, two hundred one million, four hundred ten thousand, one hundred twenty".