1413599040000 has 2400 divisors, whose sum is σ = 6281766691200. Its totient is φ = 317011968000.

The previous prime is 1413599039989. The next prime is 1413599040001. The reversal of 1413599040000 is 409953141.

It is a happy number.

1413599040000 is a `hidden beast` number, since 14 + 13 + 599 + 0 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (1413599040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26671679974 + ... + 26671680026.

It is an arithmetic number, because the mean of its divisors is an integer number (2617402788).

Almost surely, 2^{1413599040000} is an apocalyptic number.

1413599040000 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 1413599040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140883345600).

1413599040000 is an abundant number, since it is smaller than the sum of its proper divisors (4868167651200).

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

1413599040000 is an frugal number, since it uses more digits than its factorization.

1413599040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1413599040000 in words is "one trillion, four hundred thirteen billion, five hundred ninety-nine million, forty thousand".