1415429242880 has 240 divisors, whose sum is σ = 3477614137200. Its totient is φ = 552861696000.

The previous prime is 1415429242847. The next prime is 1415429242889. The reversal of 1415429242880 is 882429245141.

It can be written as a sum of positive squares in 8 ways, for example, as 780946898944 + 634482343936 = 883712^2 + 796544^2 .

It is not an unprimeable number, because it can be changed into a prime (1415429242889) 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 15 ways as a sum of consecutive naturals, for example, 744569930 + ... + 744571830.

It is an arithmetic number, because the mean of its divisors is an integer number (14490058905).

Almost surely, 2^{1415429242880} is an apocalyptic number.

1415429242880 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 1415429242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738807068600).

1415429242880 is an abundant number, since it is smaller than the sum of its proper divisors (2062184894320).

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

1415429242880 is an equidigital number, since it uses as much as digits as its factorization.

1415429242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 1415429242880 in words is "one trillion, four hundred fifteen billion, four hundred twenty-nine million, two hundred forty-two thousand, eight hundred eighty".