4042201403400 has 96 divisors (see below), whose sum is σ = 12822238952160. Its totient is φ = 1052852451840.

The previous prime is 4042201403353. The next prime is 4042201403407. The reversal of 4042201403400 is 43041022404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4042201403407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78311437 + ... + 78363036.

It is an arithmetic number, because the mean of its divisors is an integer number (133564989085).

Almost surely, 2^{4042201403400} is an apocalyptic number.

4042201403400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042201403400 is an abundant number, since it is smaller than the sum of its proper divisors (8780037548760).

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

4042201403400 is a wasteful number, since it uses less digits than its factorization.

4042201403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156674535 (or 156674526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042201403400 its reverse (43041022404), we get a palindrome (4085242425804).

The spelling of 4042201403400 in words is "four trillion, forty-two billion, two hundred one million, four hundred three thousand, four hundred".