1413521120 has 96 divisors (see below), whose sum is σ = 3801530880. Its totient is φ = 491645440.

The previous prime is 1413521107. The next prime is 1413521141. The reversal of 1413521120 is 211253141.

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 = 1413521092 and 1413521101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23021 + ... + 57939.

It is an arithmetic number, because the mean of its divisors is an integer number (39599280).

Almost surely, 2^1413521120 is an apocalyptic number.

1413521120 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 1413521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900765440).

1413521120 is an abundant number, since it is smaller than the sum of its proper divisors (2388009760).

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

1413521120 is a wasteful number, since it uses less digits than its factorization.

1413521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34968 (or 34960 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1413521120 is about 37596.8232700583. The cubic root of 1413521120 is about 1122.2788211097.

Adding to 1413521120 its reverse (211253141), we get a palindrome (1624774261).

The spelling of 1413521120 in words is "one billion, four hundred thirteen million, five hundred twenty-one thousand, one hundred twenty".