42404224400 has 30 divisors (see below), whose sum is σ = 101876150082. Its totient is φ = 16961689600.

The previous prime is 42404224391. The next prime is 42404224409. The reversal of 42404224400 is 442240424.

It is an interprime number because it is at equal distance from previous prime (42404224391) and next prime (42404224409).

It can be written as a sum of positive squares in 3 ways, for example, as 113124496 + 42291099904 = 10636^2 + 205648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42404224400.

It is not an unprimeable number, because it can be changed into a prime (42404224409) 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, 53004881 + ... + 53005680.

Almost surely, 2^42404224400 is an apocalyptic number.

42404224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404224400 is an abundant number, since it is smaller than the sum of its proper divisors (59471925682).

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

42404224400 is a wasteful number, since it uses less digits than its factorization.

42404224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106010579 (or 106010568 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42404224400 its reverse (442240424), we get a palindrome (42846464824).

The spelling of 42404224400 in words is "forty-two billion, four hundred four million, two hundred twenty-four thousand, four hundred".