304642013146240 has 384 divisors, whose sum is σ = 925086047140800. Its totient is φ = 94862896128000.

The previous prime is 304642013146213. The next prime is 304642013146249. The reversal of 304642013146240 is 42641310246403.

It is a super-2 number, since 2×304642013146240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 304642013146193 and 304642013146202.

It is not an unprimeable number, because it can be changed into a prime (304642013146249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362132826 + ... + 362973094.

Almost surely, 2^{304642013146240} 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 304642013146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462543023570400).

304642013146240 is an abundant number, since it is smaller than the sum of its proper divisors (620444033994560).

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

304642013146240 is a wasteful number, since it uses less digits than its factorization.

304642013146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841364 (or 841345 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 304642013146240 in words is "three hundred four trillion, six hundred forty-two billion, thirteen million, one hundred forty-six thousand, two hundred forty".