4030444400000 has 192 divisors, whose sum is σ = 10043161727760. Its totient is φ = 1611045120000.

The previous prime is 4030444399997. The next prime is 4030444400023. The reversal of 4030444400000 is 44440304.

It is a super-2 number, since 2×4030444400000² (a number of 26 digits) contains 22 as substring.

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, 789197447 + ... + 789202553.

Almost surely, 2^{4030444400000} is an apocalyptic number.

4030444400000 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 4030444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021580863880).

4030444400000 is an abundant number, since it is smaller than the sum of its proper divisors (6012717327760).

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

4030444400000 is an frugal number, since it uses more digits than its factorization.

4030444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 4030444400000 its reverse (44440304), we get a palindrome (4030488840304).

The spelling of 4030444400000 in words is "four trillion, thirty billion, four hundred forty-four million, four hundred thousand".