4044241402000 has 80 divisors (see below), whose sum is σ = 9793509394032. Its totient is φ = 1615292313600.

The previous prime is 4044241401983. The next prime is 4044241402009. The reversal of 4044241402000 is 2041424404.

It can be written as a sum of positive squares in 8 ways, for example, as 1532485540096 + 2511755861904 = 1237936^2 + 1584852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4044241402000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4044241402009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156319 + ... + 2848318.

Almost surely, 2^{4044241402000} is an apocalyptic number.

4044241402000 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 4044241402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896754697016).

4044241402000 is an abundant number, since it is smaller than the sum of its proper divisors (5749267992032).

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

4044241402000 is a wasteful number, since it uses less digits than its factorization.

4044241402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005333 (or 3005317 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4044241402000 its reverse (2041424404), we get a palindrome (4046282826404).

The spelling of 4044241402000 in words is "four trillion, forty-four billion, two hundred forty-one million, four hundred two thousand".