1413016708320 has 1920 divisors, whose sum is σ = 6131819232000. Its totient is φ = 305892163584.

The previous prime is 1413016708297. The next prime is 1413016708393. The reversal of 1413016708320 is 238076103141.

It is a happy number.

1413016708320 is a `hidden beast` number, since 1 + 413 + 0 + 167 + 0 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12504572584 + ... + 12504572696.

It is an arithmetic number, because the mean of its divisors is an integer number (3193655850).

Almost surely, 2^{1413016708320} is an apocalyptic number.

1413016708320 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 1413016708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065909616000).

1413016708320 is an abundant number, since it is smaller than the sum of its proper divisors (4718802523680).

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

1413016708320 is a wasteful number, since it uses less digits than its factorization.

1413016708320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1413016708320 in words is "one trillion, four hundred thirteen billion, sixteen million, seven hundred eight thousand, three hundred twenty".