511172442240 has 128 divisors (see below), whose sum is σ = 1630976817600. Its totient is φ = 136177569792.

The previous prime is 511172442227. The next prime is 511172442257. The reversal of 511172442240 is 42244271115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×511172442240² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1813551 + ... + 2076369.

Almost surely, 2^511172442240 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 511172442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815488408800).

511172442240 is an abundant number, since it is smaller than the sum of its proper divisors (1119804375360).

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

511172442240 is a wasteful number, since it uses less digits than its factorization.

511172442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263854 (or 263842 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 511172442240 in words is "five hundred eleven billion, one hundred seventy-two million, four hundred forty-two thousand, two hundred forty".