1413410414220 has 384 divisors, whose sum is σ = 5081852805120. Its totient is φ = 319457053440.

The previous prime is 1413410414191. The next prime is 1413410414231. The reversal of 1413410414220 is 224140143141.

1413410414220 is a `hidden beast` number, since 1 + 4 + 13 + 4 + 10 + 414 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149293927 + ... + 149303393.

It is an arithmetic number, because the mean of its divisors is an integer number (13233991680).

Almost surely, 2^{1413410414220} is an apocalyptic number.

1413410414220 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 1413410414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540926402560).

1413410414220 is an abundant number, since it is smaller than the sum of its proper divisors (3668442390900).

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

1413410414220 is a wasteful number, since it uses less digits than its factorization.

1413410414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1413410414220 its reverse (224140143141), we get a palindrome (1637550557361).

The spelling of 1413410414220 in words is "one trillion, four hundred thirteen billion, four hundred ten million, four hundred fourteen thousand, two hundred twenty".