42804357120 has 768 divisors, whose sum is σ = 184263206400. Its totient is φ = 9201254400.

The previous prime is 42804357109. The next prime is 42804357121. The reversal of 42804357120 is 2175340824.

It is a happy number.

42804357120 is a `hidden beast` number, since 4 + 2 + 80 + 4 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×42804357120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42804357121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32900470 + ... + 32901770.

It is an arithmetic number, because the mean of its divisors is an integer number (239926050).

Almost surely, 2^42804357120 is an apocalyptic number.

42804357120 is a gapful number since it is divisible by the number (40) 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 42804357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131603200).

42804357120 is an abundant number, since it is smaller than the sum of its proper divisors (141458849280).

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

42804357120 is a wasteful number, since it uses less digits than its factorization.

42804357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 42804357120 its reverse (2175340824), we get a palindrome (44979697944).

The spelling of 42804357120 in words is "forty-two billion, eight hundred four million, three hundred fifty-seven thousand, one hundred twenty".