4354320550400 has 480 divisors, whose sum is σ = 11676724570368. Its totient is φ = 1604822630400.

The previous prime is 4354320550369. The next prime is 4354320550421. The reversal of 4354320550400 is 40550234534.

4354320550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1121956460 + ... + 1121960340.

Almost surely, 2^{4354320550400} is an apocalyptic number.

4354320550400 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 4354320550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838362285184).

4354320550400 is an abundant number, since it is smaller than the sum of its proper divisors (7322404019968).

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

4354320550400 is a wasteful number, since it uses less digits than its factorization.

4354320550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 4354320550400 its reverse (40550234534), we get a palindrome (4394870784934).

The spelling of 4354320550400 in words is "four trillion, three hundred fifty-four billion, three hundred twenty million, five hundred fifty thousand, four hundred".