1413399585600 has 504 divisors, whose sum is σ = 5350468291168. Its totient is φ = 366716160000.

The previous prime is 1413399585569. The next prime is 1413399585613. The reversal of 1413399585600 is 65859933141.

1413399585600 is a `hidden beast` number, since 1 + 41 + 3 + 39 + 9 + 5 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14336475 + ... + 14434725.

Almost surely, 2^{1413399585600} is an apocalyptic number.

1413399585600 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 1413399585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675234145584).

1413399585600 is an abundant number, since it is smaller than the sum of its proper divisors (3937068705568).

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

1413399585600 is an equidigital number, since it uses as much as digits as its factorization.

1413399585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98325 (or 98298 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1413399585600 in words is "one trillion, four hundred thirteen billion, three hundred ninety-nine million, five hundred eighty-five thousand, six hundred".