15413404020000 has 480 divisors, whose sum is σ = 58513309747200. Its totient is φ = 3478460544000.

The previous prime is 15413404019963. The next prime is 15413404020037. The reversal of 15413404020000 is 2040431451.

It is an interprime number because it is at equal distance from previous prime (15413404019963) and next prime (15413404020037).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 32947731 + ... + 33412269.

It is an arithmetic number, because the mean of its divisors is an integer number (121902728640).

Almost surely, 2^{15413404020000} is an apocalyptic number.

15413404020000 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 15413404020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29256654873600).

15413404020000 is an abundant number, since it is smaller than the sum of its proper divisors (43099905727200).

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

15413404020000 is an equidigital number, since it uses as much as digits as its factorization.

15413404020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464658 (or 464635 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 15413404020000 its reverse (2040431451), we get a palindrome (15415444451451).

The spelling of 15413404020000 in words is "fifteen trillion, four hundred thirteen billion, four hundred four million, twenty thousand".