511442401440 has 48 divisors (see below), whose sum is σ = 1611043566048. Its totient is φ = 136384640256.

The previous prime is 511442401429. The next prime is 511442401441. The reversal of 511442401440 is 44104244115.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×511442401440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 511442401398 and 511442401407.

It is not an unprimeable number, because it can be changed into a prime (511442401441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 532752022 + ... + 532752981.

It is an arithmetic number, because the mean of its divisors is an integer number (33563407626).

Almost surely, 2^511442401440 is an apocalyptic number.

It is an amenable number.

511442401440 is an abundant number, since it is smaller than the sum of its proper divisors (1099601164608).

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

511442401440 is a wasteful number, since it uses less digits than its factorization.

511442401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065505021 (or 1065505013 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 511442401440 its reverse (44104244115), we get a palindrome (555546645555).

The spelling of 511442401440 in words is "five hundred eleven billion, four hundred forty-two million, four hundred one thousand, four hundred forty".