4344200040400 has 120 divisors (see below), whose sum is σ = 11391892934688. Its totient is φ = 1578857280000.

The previous prime is 4344200040379. The next prime is 4344200040403. The reversal of 4344200040400 is 40400024434.

4344200040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4344200040400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4344200040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7923135 + ... + 8453665.

Almost surely, 2^{4344200040400} is an apocalyptic number.

4344200040400 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 4344200040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695946467344).

4344200040400 is an abundant number, since it is smaller than the sum of its proper divisors (7047692894288).

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

4344200040400 is a wasteful number, since it uses less digits than its factorization.

4344200040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532421 (or 532410 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 4344200040400 its reverse (40400024434), we get a palindrome (4384600064834).

The spelling of 4344200040400 in words is "four trillion, three hundred forty-four billion, two hundred million, forty thousand, four hundred".