1428012511344 has 160 divisors (see below), whose sum is σ = 4245538536000. Its totient is φ = 459018878976.

The previous prime is 1428012511307. The next prime is 1428012511363. The reversal of 1428012511344 is 4431152108241.

1428012511344 is a `hidden beast` number, since 1 + 4 + 280 + 1 + 25 + 11 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1428012511299 and 1428012511308.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10064704 + ... + 10205600.

It is an arithmetic number, because the mean of its divisors is an integer number (26534615850).

Almost surely, 2^{1428012511344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428012511344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122769268000).

1428012511344 is an abundant number, since it is smaller than the sum of its proper divisors (2817526024656).

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

1428012511344 is a wasteful number, since it uses less digits than its factorization.

1428012511344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141752 (or 141740 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 1428012511344 its reverse (4431152108241), we get a palindrome (5859164619585).

The spelling of 1428012511344 in words is "one trillion, four hundred twenty-eight billion, twelve million, five hundred eleven thousand, three hundred forty-four".