4044142010400 has 144 divisors (see below), whose sum is σ = 13165607347200. Its totient is φ = 1078280156160.

The previous prime is 4044142010357. The next prime is 4044142010413. The reversal of 4044142010400 is 40102414404.

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 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, 16773906 + ... + 17013294.

It is an arithmetic number, because the mean of its divisors is an integer number (91427828800).

Almost surely, 2^{4044142010400} is an apocalyptic number.

4044142010400 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 4044142010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582803673600).

4044142010400 is an abundant number, since it is smaller than the sum of its proper divisors (9121465336800).

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

4044142010400 is a wasteful number, since it uses less digits than its factorization.

4044142010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246451 (or 246438 counting only the distinct ones).

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

Adding to 4044142010400 its reverse (40102414404), we get a palindrome (4084244424804).

The spelling of 4044142010400 in words is "four trillion, forty-four billion, one hundred forty-two million, ten thousand, four hundred".