1413296640000 has 2080 divisors, whose sum is σ = 6288674979840. Its totient is φ = 306561024000.

The previous prime is 1413296639981. The next prime is 1413296640011. The reversal of 1413296640000 is 466923141.

1413296640000 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 9 + 6 + 640 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11128319937 + ... + 11128320063.

Almost surely, 2^{1413296640000} is an apocalyptic number.

1413296640000 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 1413296640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144337489920).

1413296640000 is an abundant number, since it is smaller than the sum of its proper divisors (4875378339840).

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

1413296640000 is an equidigital number, since it uses as much as digits as its factorization.

1413296640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1413296640000 in words is "one trillion, four hundred thirteen billion, two hundred ninety-six million, six hundred forty thousand".