4042002202400 has 36 divisors (see below), whose sum is σ = 9867537878562. Its totient is φ = 1616800880640.

The previous prime is 4042002202397. The next prime is 4042002202471. The reversal of 4042002202400 is 42022002404.

It can be written as a sum of positive squares in 3 ways, for example, as 3401560526224 + 640441676176 = 1844332^2 + 800276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2526250577 + ... + 2526252176.

Almost surely, 2^{4042002202400} is an apocalyptic number.

4042002202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042002202400 is an abundant number, since it is smaller than the sum of its proper divisors (5825535676162).

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

4042002202400 is a wasteful number, since it uses less digits than its factorization.

4042002202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052502773 (or 5052502760 counting only the distinct ones).

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

Adding to 4042002202400 its reverse (42022002404), we get a palindrome (4084024204804).

The spelling of 4042002202400 in words is "four trillion, forty-two billion, two million, two hundred two thousand, four hundred".