4042212430400 has 84 divisors (see below), whose sum is σ = 9947569789860. Its totient is φ = 1616689766400.

The previous prime is 4042212430357. The next prime is 4042212430423. The reversal of 4042212430400 is 40342122404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 346713702976 + 3695498727424 = 588824^2 + 1922368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4042212430400.

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, 13485356 + ... + 13781844.

Almost surely, 2^{4042212430400} is an apocalyptic number.

4042212430400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042212430400 is an abundant number, since it is smaller than the sum of its proper divisors (5905357359460).

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

4042212430400 is a wasteful number, since it uses less digits than its factorization.

4042212430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305032 (or 305017 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4042212430400 its reverse (40342122404), we get a palindrome (4082554552804).

The spelling of 4042212430400 in words is "four trillion, forty-two billion, two hundred twelve million, four hundred thirty thousand, four hundred".