42120304400 has 30 divisors (see below), whose sum is σ = 101194032282. Its totient is φ = 16848121600.

The previous prime is 42120304357. The next prime is 42120304403. The reversal of 42120304400 is 440302124.

It can be written as a sum of positive squares in 3 ways, for example, as 6697744 + 42113606656 = 2588^2 + 205216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42120304403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52649981 + ... + 52650780.

Almost surely, 2^42120304400 is an apocalyptic number.

42120304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120304400 is an abundant number, since it is smaller than the sum of its proper divisors (59073727882).

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

42120304400 is a wasteful number, since it uses less digits than its factorization.

42120304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105300779 (or 105300768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42120304400 its reverse (440302124), we get a palindrome (42560606524).

The spelling of 42120304400 in words is "forty-two billion, one hundred twenty million, three hundred four thousand, four hundred".