1413013232000 has 256 divisors, whose sum is σ = 3645090408960. Its totient is φ = 544158720000.

The previous prime is 1413013231979. The next prime is 1413013232009. The reversal of 1413013232000 is 2323103141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413013232009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97704770 + ... + 97719230.

It is an arithmetic number, because the mean of its divisors is an integer number (14238634410).

Almost surely, 2^{1413013232000} is an apocalyptic number.

1413013232000 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 1413013232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822545204480).

1413013232000 is an abundant number, since it is smaller than the sum of its proper divisors (2232077176960).

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

1413013232000 is a wasteful number, since it uses less digits than its factorization.

1413013232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1413013232000 its reverse (2323103141), we get a palindrome (1415336335141).

The spelling of 1413013232000 in words is "one trillion, four hundred thirteen billion, thirteen million, two hundred thirty-two thousand".