4042110000400 has 240 divisors, whose sum is σ = 10300950696960. Its totient is φ = 1519981632000.

The previous prime is 4042110000391. The next prime is 4042110000451. The reversal of 4042110000400 is 40000112404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2119616247 + ... + 2119618153.

It is an arithmetic number, because the mean of its divisors is an integer number (42920627904).

Almost surely, 2^{4042110000400} is an apocalyptic number.

4042110000400 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 4042110000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150475348480).

4042110000400 is an abundant number, since it is smaller than the sum of its proper divisors (6258840696560).

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

4042110000400 is a wasteful number, since it uses less digits than its factorization.

4042110000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4042110000400 its reverse (40000112404), we get a palindrome (4082110112804).

The spelling of 4042110000400 in words is "four trillion, forty-two billion, one hundred ten million, four hundred", and thus it is an aban number.