4030342334400 has 336 divisors, whose sum is σ = 13782987741056. Its totient is φ = 1030099783680.

The previous prime is 4030342334351. The next prime is 4030342334441. The reversal of 4030342334400 is 44332430304.

4030342334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11729847 + ... + 12068553.

Almost surely, 2^{4030342334400} is an apocalyptic number.

4030342334400 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 4030342334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891493870528).

4030342334400 is an abundant number, since it is smaller than the sum of its proper divisors (9752645406656).

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

4030342334400 is a wasteful number, since it uses less digits than its factorization.

4030342334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338836 (or 338821 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 4030342334400 its reverse (44332430304), we get a palindrome (4074674764704).

The spelling of 4030342334400 in words is "four trillion, thirty billion, three hundred forty-two million, three hundred thirty-four thousand, four hundred".