4354342204400 has 120 divisors (see below), whose sum is σ = 10748850394128. Its totient is φ = 1694119680000.

The previous prime is 4354342204397. The next prime is 4354342204469. The reversal of 4354342204400 is 44022434534.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5027330 + ... + 5829470.

Almost surely, 2^{4354342204400} is an apocalyptic number.

4354342204400 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 4354342204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374425197064).

4354342204400 is an abundant number, since it is smaller than the sum of its proper divisors (6394508189728).

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

4354342204400 is a wasteful number, since it uses less digits than its factorization.

4354342204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802531 (or 802520 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 4354342204400 its reverse (44022434534), we get a palindrome (4398364638934).

The spelling of 4354342204400 in words is "four trillion, three hundred fifty-four billion, three hundred forty-two million, two hundred four thousand, four hundred".