4042401401400 has 96 divisors (see below), whose sum is σ = 12600679182000. Its totient is φ = 1072018022400.

The previous prime is 4042401401383. The next prime is 4042401401407. The reversal of 4042401401400 is 41041042404.

It is a happy number.

4042401401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042401401407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18502825 + ... + 18720024.

Almost surely, 2^{4042401401400} is an apocalyptic number.

4042401401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042401401400 is an abundant number, since it is smaller than the sum of its proper divisors (8558277780600).

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

4042401401400 is a wasteful number, since it uses less digits than its factorization.

4042401401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37223049 (or 37223040 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4042401401400 its reverse (41041042404), we get a palindrome (4083442443804).

The spelling of 4042401401400 in words is "four trillion, forty-two billion, four hundred one million, four hundred one thousand, four hundred".