301542145040 has 80 divisors (see below), whose sum is σ = 718726998528. Its totient is φ = 117601294848.

The previous prime is 301542145027. The next prime is 301542145057. The reversal of 301542145040 is 40541245103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 301542144994 and 301542145012.

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 15 ways as a sum of consecutive naturals, for example, 836414 + ... + 1141346.

Almost surely, 2^301542145040 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 301542145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359363499264).

301542145040 is an abundant number, since it is smaller than the sum of its proper divisors (417184853488).

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

301542145040 is a wasteful number, since it uses less digits than its factorization.

301542145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305256 (or 305250 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 301542145040 in words is "three hundred one billion, five hundred forty-two million, one hundred forty-five thousand, forty".