1413289672704 has 1088 divisors, whose sum is σ = 5270689966080. Its totient is φ = 364369674240.

The previous prime is 1413289672703. The next prime is 1413289672783. The reversal of 1413289672704 is 4072769823141.

1413289672704 is a `hidden beast` number, since 1 + 41 + 328 + 9 + 6 + 7 + 270 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1413289672703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10788470719 + ... + 10788470849.

It is an arithmetic number, because the mean of its divisors is an integer number (4844384160).

Almost surely, 2^{1413289672704} is an apocalyptic number.

1413289672704 is a gapful number since it is divisible by the number (14) 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 1413289672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635344983040).

1413289672704 is an abundant number, since it is smaller than the sum of its proper divisors (3857400293376).

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

1413289672704 is an equidigital number, since it uses as much as digits as its factorization.

1413289672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1413289672704 in words is "one trillion, four hundred thirteen billion, two hundred eighty-nine million, six hundred seventy-two thousand, seven hundred four".