1564303001140 has 96 divisors (see below), whose sum is σ = 3618652060800. Its totient is φ = 563308838400.

The previous prime is 1564303001117. The next prime is 1564303001141. The reversal of 1564303001140 is 411003034651.

It is a super-2 number, since 2×1564303001140² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1564303001099 and 1564303001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564303001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10778094 + ... + 10922266.

It is an arithmetic number, because the mean of its divisors is an integer number (37694292300).

Almost surely, 2^{1564303001140} is an apocalyptic number.

1564303001140 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 1564303001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809326030400).

1564303001140 is an abundant number, since it is smaller than the sum of its proper divisors (2054349059660).

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

1564303001140 is a wasteful number, since it uses less digits than its factorization.

1564303001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144673 (or 144671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1564303001140 its reverse (411003034651), we get a palindrome (1975306035791).

The spelling of 1564303001140 in words is "one trillion, five hundred sixty-four billion, three hundred three million, one thousand, one hundred forty".