1144764040560 has 480 divisors, whose sum is σ = 4308731848512. Its totient is φ = 250456227840.

The previous prime is 1144764040549. The next prime is 1144764040571. The reversal of 1144764040560 is 650404674411.

It is an interprime number because it is at equal distance from previous prime (1144764040549) and next prime (1144764040571).

It is a super-2 number, since 2×1144764040560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25532082 + ... + 25576878.

Almost surely, 2^{1144764040560} is an apocalyptic number.

1144764040560 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 1144764040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154365924256).

1144764040560 is an abundant number, since it is smaller than the sum of its proper divisors (3163967807952).

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

1144764040560 is a wasteful number, since it uses less digits than its factorization.

1144764040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44921 (or 44908 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1144764040560 in words is "one trillion, one hundred forty-four billion, seven hundred sixty-four million, forty thousand, five hundred sixty".