4042144100400 has 480 divisors, whose sum is σ = 14921246312448. Its totient is φ = 916257484800.

The previous prime is 4042144100381. The next prime is 4042144100429. The reversal of 4042144100400 is 40014412404.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611793897 + ... + 611800503.

Almost surely, 2^{4042144100400} is an apocalyptic number.

4042144100400 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 4042144100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460623156224).

4042144100400 is an abundant number, since it is smaller than the sum of its proper divisors (10879102212048).

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

4042144100400 is a wasteful number, since it uses less digits than its factorization.

4042144100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7218 counting only the distinct ones).

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

Adding to 4042144100400 its reverse (40014412404), we get a palindrome (4082158512804).

The spelling of 4042144100400 in words is "four trillion, forty-two billion, one hundred forty-four million, one hundred thousand, four hundred".