42202024400 has 60 divisors (see below), whose sum is σ = 101419615500. Its totient is φ = 16875939840.

The previous prime is 42202024393. The next prime is 42202024441. The reversal of 42202024400 is 442020224.

It can be written as a sum of positive squares in 6 ways, for example, as 6019897744 + 36182126656 = 77588^2 + 190216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582376 + ... + 1608824.

It is an arithmetic number, because the mean of its divisors is an integer number (1690326925).

Almost surely, 2^42202024400 is an apocalyptic number.

42202024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42202024400 is an abundant number, since it is smaller than the sum of its proper divisors (59217591100).

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

42202024400 is a wasteful number, since it uses less digits than its factorization.

42202024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30456 (or 30445 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42202024400 its reverse (442020224), we get a palindrome (42644044624).

The spelling of 42202024400 in words is "forty-two billion, two hundred two million, twenty-four thousand, four hundred".