42241343400 has 192 divisors, whose sum is σ = 153156120000. Its totient is φ = 10671471360.

The previous prime is 42241343369. The next prime is 42241343437. The reversal of 42241343400 is 434314224.

It is a happy number.

42241343400 is a `hidden beast` number, since 4 + 224 + 1 + 3 + 434 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103255 + ... + 308454.

It is an arithmetic number, because the mean of its divisors is an integer number (797688125).

Almost surely, 2^42241343400 is an apocalyptic number.

42241343400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241343400 is an abundant number, since it is smaller than the sum of its proper divisors (110914776600).

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

42241343400 is a wasteful number, since it uses less digits than its factorization.

42241343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411753 (or 411738 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42241343400 its reverse (434314224), we get a palindrome (42675657624).

It can be divided in two parts, 42241 and 343400, that added together give a square (385641 = 621²).

The spelling of 42241343400 in words is "forty-two billion, two hundred forty-one million, three hundred forty-three thousand, four hundred".