4042110013400 has 96 divisors (see below), whose sum is σ = 9552667608000. Its totient is φ = 1590291669120.

The previous prime is 4042110013391. The next prime is 4042110013481. The reversal of 4042110013400 is 43100112404.

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 23 ways as a sum of consecutive naturals, for example, 8601731 + ... + 9059469.

It is an arithmetic number, because the mean of its divisors is an integer number (99506954250).

Almost surely, 2^{4042110013400} is an apocalyptic number.

4042110013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042110013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776333804000).

4042110013400 is an abundant number, since it is smaller than the sum of its proper divisors (5510557594600).

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

4042110013400 is a wasteful number, since it uses less digits than its factorization.

4042110013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458481 (or 458472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4042110013400 its reverse (43100112404), we get a palindrome (4085210125804).

The spelling of 4042110013400 in words is "four trillion, forty-two billion, one hundred ten million, thirteen thousand, four hundred".